2.7 Table of system of ODEs

Table 2.515: System of differential equations

#

ODE

Solved?

540

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=6 x+3 y \end {array}\right ] \]
i.c.

576

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x \end {array}\right ] \]

577

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=x \end {array}\right ] \]

578

\[ {}\left [\begin {array}{c} x^{\prime }=-2 y \\ y^{\prime }=2 x \end {array}\right ] \]
i.c.

579

\[ {}\left [\begin {array}{c} x^{\prime }=10 y \\ y^{\prime }=-10 x \end {array}\right ] \]
i.c.

580

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {y}{2} \\ y^{\prime }=-8 x \end {array}\right ] \]

581

\[ {}\left [\begin {array}{c} x^{\prime }=8 y \\ y^{\prime }=-2 x \end {array}\right ] \]

582

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=6 x-y \end {array}\right ] \]
i.c.

583

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=10 x-7 y \end {array}\right ] \]
i.c.

584

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=13 x+4 y \end {array}\right ] \]
i.c.

585

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-9 x+6 y \end {array}\right ] \]

586

\[ {}\left [\begin {array}{c} 10 x_{1}^{\prime }=-x_{1}+x_{3} \\ 10 x_{2}^{\prime }=x_{1}-x_{2} \\ 10 x_{3}^{\prime }=x_{2}-x_{3} \end {array}\right ] \]

587

\[ {}\left [\begin {array}{c} x^{\prime }=-x+3 y \\ y^{\prime }=2 y \end {array}\right ] \]

588

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=2 x-3 y \end {array}\right ] \]

589

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+2 y \\ y^{\prime }=-3 x+4 y \end {array}\right ] \]
i.c.

590

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-y \\ y^{\prime }=5 x-3 y \end {array}\right ] \]
i.c.

591

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-4 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

592

\[ {}\left [\begin {array}{c} x^{\prime }=x+9 y \\ y^{\prime }=-2 x-5 y \end {array}\right ] \]
i.c.

593

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+y+2 t \\ y^{\prime }=-2 x+y \end {array}\right ] \]

594

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=x+2 y-{\mathrm e}^{2 t} \end {array}\right ] \]

595

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-3 y+2 \sin \left (2 t \right ) \\ y^{\prime }=x-2 y-\cos \left (2 t \right ) \end {array}\right ] \]

596

\[ {}\left [\begin {array}{c} x^{\prime }+2 y^{\prime }=4 x+5 y \\ 2 x^{\prime }-y^{\prime }=3 x \end {array}\right ] \]
i.c.

597

\[ {}\left [\begin {array}{c} -x^{\prime }+2 y^{\prime }=x+3 y+{\mathrm e}^{t} \\ 3 x^{\prime }-4 y^{\prime }=x-15 y+{\mathrm e}^{-t} \end {array}\right ] \]

598

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y+z \\ y^{\prime }=6 x-y \\ z^{\prime }=-x-2 y-z \end {array}\right ] \]

599

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=-4 x+4 y-2 z \\ z^{\prime }=-4 y+4 z \end {array}\right ] \]

600

\[ {}\left [\begin {array}{c} x^{\prime }=y+z+{\mathrm e}^{-t} \\ y^{\prime }=x+z \\ z^{\prime }=x+y \end {array}\right ] \]

601

\[ {}\left [\begin {array}{c} x^{\prime }=-3 y \\ y^{\prime }=3 x \end {array}\right ] \]

602

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

603

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+4 y+3 \,{\mathrm e}^{t} \\ y^{\prime }=5 x-y-t^{2} \end {array}\right ] \]

604

\[ {}\left [\begin {array}{c} x^{\prime }=t x-{\mathrm e}^{t} y+\cos \left (t \right ) \\ y^{\prime }={\mathrm e}^{-t} x+t^{2} y-\sin \left (t \right ) \end {array}\right ] \]

605

\[ {}\left [\begin {array}{c} x^{\prime }=y+z \\ y^{\prime }=x+z \\ z^{\prime }=x+y \end {array}\right ] \]

606

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-3 y \\ y^{\prime }=x+y+2 z \\ z^{\prime }=5 y-7 z \end {array}\right ] \]

607

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-4 y+z+t \\ y^{\prime }=x-3 z+t^{2} \\ z^{\prime }=6 y-7 z+t^{3} \end {array}\right ] \]

608

\[ {}\left [\begin {array}{c} x^{\prime }=t x-y+{\mathrm e}^{t} z \\ y^{\prime }=2 x+t^{2} y-z \\ z^{\prime }={\mathrm e}^{-t} x+3 t y+t^{3} z \end {array}\right ] \]

609

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=2 x_{3} \\ x_{3}^{\prime }=3 x_{4} \\ x_{4}^{\prime }=4 x_{1} \end {array}\right ] \]

610

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+x_{3}+1 \\ x_{2}^{\prime }=x_{3}+x_{4}+t \\ x_{3}^{\prime }=x_{1}+x_{4}+t^{2} \\ x_{4}^{\prime }=x_{1}+x_{2}+t^{3} \end {array}\right ] \]

611

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+2 x_{2} \\ x_{2}^{\prime }=-3 x_{1}-x_{2} \end {array}\right ] \]

612

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+2 x_{2} \\ x_{2}^{\prime }=-3 x_{1}+4 x_{2} \end {array}\right ] \]
i.c.

613

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}-3 x_{2} \end {array}\right ] \]
i.c.

614

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2} \\ x_{2}^{\prime }=-2 x_{1}+x_{2} \end {array}\right ] \]
i.c.

615

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-3 x_{2} \\ x_{2}^{\prime }=6 x_{1}-7 x_{2} \end {array}\right ] \]
i.c.

616

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=-x_{1}+3 x_{2}-2 x_{3} \\ x_{3}^{\prime }=-x_{2}+3 x_{3} \end {array}\right ] \]
i.c.

617

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2} \end {array}\right ] \]
i.c.

618

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}+x_{3} \\ x_{2}^{\prime }=6 x_{1}-x_{2} \\ x_{3}^{\prime }=-x_{1}-2 x_{2}-x_{3} \end {array}\right ] \]
i.c.

619

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-8 x_{1}-11 x_{2}-2 x_{3} \\ x_{2}^{\prime }=6 x_{1}+9 x_{2}+2 x_{3} \\ x_{3}^{\prime }=-6 x_{1}-6 x_{2}+x_{3} \end {array}\right ] \]
i.c.

620

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-4 x_{2}-2 x_{4} \\ x_{2}^{\prime }=x_{2} \\ x_{3}^{\prime }=6 x_{1}-12 x_{2}-x_{3}-6 x_{4} \\ x_{4}^{\prime }=-4 x_{2}-x_{4} \end {array}\right ] \]
i.c.

621

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

622

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+3 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

623

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+4 x_{2} \\ x_{2}^{\prime }=3 x_{1}+2 x_{2} \end {array}\right ] \]
i.c.

624

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2} \\ x_{2}^{\prime }=6 x_{1}-x_{2} \end {array}\right ] \]

625

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=6 x_{1}-7 x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

626

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=9 x_{1}+5 x_{2} \\ x_{2}^{\prime }=-6 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

627

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+4 x_{2} \\ x_{2}^{\prime }=6 x_{1}-5 x_{2} \end {array}\right ] \]

628

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

629

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2} \\ x_{2}^{\prime }=4 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

630

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=9 x_{1}+3 x_{2} \end {array}\right ] \]

631

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]
i.c.

632

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \end {array}\right ] \]

633

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-9 x_{2} \\ x_{2}^{\prime }=2 x_{1}-x_{2} \end {array}\right ] \]

634

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}+3 x_{2} \end {array}\right ] \]

635

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=7 x_{1}-5 x_{2} \\ x_{2}^{\prime }=4 x_{1}+3 x_{2} \end {array}\right ] \]

636

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-50 x_{1}+20 x_{2} \\ x_{2}^{\prime }=100 x_{1}-60 x_{2} \end {array}\right ] \]

637

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2}+4 x_{3} \\ x_{2}^{\prime }=x_{1}+7 x_{2}+x_{3} \\ x_{3}^{\prime }=4 x_{1}+x_{2}+4 x_{3} \end {array}\right ] \]

638

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}+2 x_{3} \\ x_{2}^{\prime }=2 x_{1}+7 x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}+7 x_{3} \end {array}\right ] \]

639

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+4 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2}+4 x_{3} \end {array}\right ] \]

640

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}+x_{2}+3 x_{3} \\ x_{2}^{\prime }=x_{1}+7 x_{2}+x_{3} \\ x_{3}^{\prime }=3 x_{1}+x_{2}+5 x_{3} \end {array}\right ] \]

641

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-6 x_{3} \\ x_{2}^{\prime }=2 x_{1}-x_{2}-2 x_{3} \\ x_{3}^{\prime }=4 x_{1}-2 x_{2}-4 x_{3} \end {array}\right ] \]

642

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}+2 x_{3} \\ x_{2}^{\prime }=-5 x_{1}-4 x_{2}-2 x_{3} \\ x_{3}^{\prime }=5 x_{1}+5 x_{2}+3 x_{3} \end {array}\right ] \]

643

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=-5 x_{1}-3 x_{2}-x_{3} \\ x_{3}^{\prime }=5 x_{1}+5 x_{2}+3 x_{3} \end {array}\right ] \]

644

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{2}^{\prime }=-4 x_{1}-3 x_{2}-x_{3} \\ x_{3}^{\prime }=4 x_{1}+4 x_{2}+2 x_{3} \end {array}\right ] \]

645

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}+5 x_{2}+2 x_{3} \\ x_{2}^{\prime }=-6 x_{1}-6 x_{2}-5 x_{3} \\ x_{3}^{\prime }=6 x_{1}+6 x_{2}+5 x_{3} \end {array}\right ] \]

646

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{3} \\ x_{2}^{\prime }=9 x_{1}-x_{2}+2 x_{3} \\ x_{3}^{\prime }=-9 x_{1}+4 x_{2}-x_{3} \end {array}\right ] \]
i.c.

647

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=2 x_{1}+2 x_{2} \\ x_{3}^{\prime }=3 x_{2}+3 x_{3} \\ x_{4}^{\prime }=4 x_{3}+4 x_{4} \end {array}\right ] \]

648

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+9 x_{4} \\ x_{2}^{\prime }=4 x_{1}+2 x_{2}-10 x_{4} \\ x_{3}^{\prime }=-x_{3}+8 x_{4} \\ x_{4}^{\prime }=x_{4} \end {array}\right ] \]

649

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1} \\ x_{2}^{\prime }=-21 x_{1}-5 x_{2}-27 x_{3}-9 x_{4} \\ x_{3}^{\prime }=5 x_{3} \\ x_{4}^{\prime }=-21 x_{3}-2 x_{4} \end {array}\right ] \]

650

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2}+x_{3}+7 x_{4} \\ x_{2}^{\prime }=x_{1}+4 x_{2}+10 x_{3}+x_{4} \\ x_{3}^{\prime }=x_{1}+10 x_{2}+4 x_{3}+x_{4} \\ x_{4}^{\prime }=7 x_{1}+x_{2}+x_{3}+4 x_{4} \end {array}\right ] \]
i.c.

922

\[ {}\left [\begin {array}{c} x^{\prime }=-3 y \\ y^{\prime }=3 x \end {array}\right ] \]

923

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

924

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+4 y+3 \,{\mathrm e}^{t} \\ y^{\prime }=5 x-y-t^{2} \end {array}\right ] \]

925

\[ {}\left [\begin {array}{c} x^{\prime }=y+z \\ y^{\prime }=x+z \\ z^{\prime }=x+y \end {array}\right ] \]

926

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=2 x_{3} \\ x_{3}^{\prime }=3 x_{4} \\ x_{4}^{\prime }=4 x_{1} \end {array}\right ] \]

927

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+x_{3}+1 \\ x_{2}^{\prime }=x_{3}+x_{4}+t \\ x_{3}^{\prime }=x_{1}+x_{4}+t^{2} \\ x_{4}^{\prime }=x_{1}+x_{2}+t^{3} \end {array}\right ] \]

963

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=6 x_{1} \\ x_{2}^{\prime }=-3 x_{1}-x_{2} \end {array}\right ] \]

964

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+2 x_{2} \\ x_{2}^{\prime }=-3 x_{1}+4 x_{2} \end {array}\right ] \]

965

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

966

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+3 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

967

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+4 x_{2} \\ x_{2}^{\prime }=3 x_{1}+2 x_{2} \end {array}\right ] \]
i.c.

968

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2} \\ x_{2}^{\prime }=6 x_{1}-x_{2} \end {array}\right ] \]

969

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=6 x_{1}-7 x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

970

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=9 x_{1}+5 x_{2} \\ x_{2}^{\prime }=-6 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

971

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+4 x_{2} \\ x_{2}^{\prime }=6 x_{1}-5 x_{2} \end {array}\right ] \]

972

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

973

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2} \\ x_{2}^{\prime }=4 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

974

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=9 x_{1}+3 x_{2} \end {array}\right ] \]

975

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]
i.c.

976

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \end {array}\right ] \]

977

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-9 x_{2} \\ x_{2}^{\prime }=2 x_{1}-x_{2} \end {array}\right ] \]

978

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}+3 x_{2} \end {array}\right ] \]

979

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=7 x_{1}-5 x_{2} \\ x_{2}^{\prime }=4 x_{1}+3 x_{2} \end {array}\right ] \]

980

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-50 x_{1}+20 x_{2} \\ x_{2}^{\prime }=100 x_{1}-60 x_{2} \end {array}\right ] \]

981

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2}+4 x_{3} \\ x_{2}^{\prime }=x_{1}+7 x_{2}+x_{3} \\ x_{3}^{\prime }=4 x_{1}+x_{2}+4 x_{3} \end {array}\right ] \]

982

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}+2 x_{3} \\ x_{2}^{\prime }=2 x_{1}+7 x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}+7 x_{3} \end {array}\right ] \]

983

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+4 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2}+4 x_{3} \end {array}\right ] \]

984

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}+x_{2}+3 x_{3} \\ x_{2}^{\prime }=x_{1}+7 x_{2}+x_{3} \\ x_{3}^{\prime }=3 x_{1}+x_{2}+5 x_{3} \end {array}\right ] \]

985

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-6 x_{3} \\ x_{2}^{\prime }=2 x_{1}-x_{2}-2 x_{3} \\ x_{3}^{\prime }=4 x_{1}-2 x_{2}-4 x_{3} \end {array}\right ] \]

986

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}+2 x_{3} \\ x_{2}^{\prime }=-5 x_{1}-4 x_{2}-2 x_{3} \\ x_{3}^{\prime }=5 x_{1}+5 x_{2}+3 x_{3} \end {array}\right ] \]

987

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=-5 x_{1}-3 x_{2}-x_{3} \\ x_{3}^{\prime }=5 x_{1}+5 x_{2}+3 x_{3} \end {array}\right ] \]

988

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{2}^{\prime }=-4 x_{1}-3 x_{2}-x_{3} \\ x_{3}^{\prime }=4 x_{1}+4 x_{2}+2 x_{3} \end {array}\right ] \]

989

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}+5 x_{2}+2 x_{3} \\ x_{2}^{\prime }=-6 x_{1}-6 x_{2}-5 x_{3} \\ x_{3}^{\prime }=6 x_{1}+6 x_{2}+5 x_{3} \end {array}\right ] \]

990

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{3} \\ x_{2}^{\prime }=9 x_{1}-x_{2}+2 x_{3} \\ x_{3}^{\prime }=-9 x_{1}+4 x_{2}-x_{3} \end {array}\right ] \]
i.c.

991

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=2 x_{1}+2 x_{2} \\ x_{3}^{\prime }=3 x_{2}+3 x_{3} \\ x_{4}^{\prime }=4 x_{3}+4 x_{4} \end {array}\right ] \]

992

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+9 x_{4} \\ x_{2}^{\prime }=4 x_{1}+2 x_{2}-10 x_{4} \\ x_{3}^{\prime }=-x_{3}+8 x_{4} \\ x_{4}^{\prime }=x_{4} \end {array}\right ] \]

993

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1} \\ x_{2}^{\prime }=-21 x_{1}-5 x_{2}-27 x_{3}-9 x_{4} \\ x_{3}^{\prime }=5 x_{3} \\ x_{4}^{\prime }=-21 x_{3}-2 x_{4} \end {array}\right ] \]

994

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2}+x_{3}+7 x_{4} \\ x_{2}^{\prime }=x_{1}+4 x_{2}+10 x_{3}+x_{4} \\ x_{3}^{\prime }=x_{1}+10 x_{2}+4 x_{3}+x_{4} \\ x_{4}^{\prime }=7 x_{1}+x_{2}+x_{3}+4 x_{4} \end {array}\right ] \]
i.c.

995

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-40 x_{1}-12 x_{2}+54 x_{3} \\ x_{2}^{\prime }=35 x_{1}+13 x_{2}-46 x_{3} \\ x_{3}^{\prime }=-25 x_{1}-7 x_{2}+34 x_{3} \end {array}\right ] \]

996

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-20 x_{1}+11 x_{2}+13 x_{3} \\ x_{2}^{\prime }=12 x_{1}-x_{2}-7 x_{3} \\ x_{3}^{\prime }=-48 x_{1}+21 x_{2}+31 x_{3} \end {array}\right ] \]

997

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=147 x_{1}+23 x_{2}-202 x_{3} \\ x_{2}^{\prime }=-90 x_{1}-9 x_{2}+129 x_{3} \\ x_{3}^{\prime }=90 x_{1}+15 x_{2}-123 x_{3} \end {array}\right ] \]

998

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=9 x_{1}-7 x_{2}-5 x_{3} \\ x_{2}^{\prime }=-12 x_{1}+7 x_{2}+11 x_{3}+9 x_{4} \\ x_{3}^{\prime }=24 x_{1}-17 x_{2}-19 x_{3}-9 x_{4} \\ x_{4}^{\prime }=-18 x_{1}+13 x_{2}+17 x_{3}+9 x_{4} \end {array}\right ] \]

999

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=13 x_{1}-42 x_{2}+106 x_{3}+139 x_{4} \\ x_{2}^{\prime }=2 x_{1}-16 x_{2}+52 x_{3}+70 x_{4} \\ x_{3}^{\prime }=x_{1}+6 x_{2}-20 x_{3}-31 x_{4} \\ x_{4}^{\prime }=-x_{1}-6 x_{2}+22 x_{3}+33 x_{4} \end {array}\right ] \]

1000

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=23 x_{1}-18 x_{2}-16 x_{3} \\ x_{2}^{\prime }=-8 x_{1}+6 x_{2}+7 x_{3}+9 x_{4} \\ x_{3}^{\prime }=34 x_{1}-27 x_{2}-26 x_{3}-9 x_{4} \\ x_{4}^{\prime }=-26 x_{1}+21 x_{2}+25 x_{3}+12 x_{4} \end {array}\right ] \]

1001

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=47 x_{1}-8 x_{2}+5 x_{3}-5 x_{4} \\ x_{2}^{\prime }=-10 x_{1}+32 x_{2}+18 x_{3}-2 x_{4} \\ x_{3}^{\prime }=139 x_{1}-40 x_{2}-167 x_{3}-121 x_{4} \\ x_{4}^{\prime }=-232 x_{1}+64 x_{2}+360 x_{3}+248 x_{4} \end {array}\right ] \]

1002

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=139 x_{1}-14 x_{2}-52 x_{3}-14 x_{4}+28 x_{5} \\ x_{2}^{\prime }=-22 x_{1}+5 x_{2}+7 x_{3}+8 x_{4}-7 x_{5} \\ x_{3}^{\prime }=370 x_{1}-38 x_{2}-139 x_{3}-38 x_{4}+76 x_{5} \\ x_{4}^{\prime }=152 x_{1}-16 x_{2}-59 x_{3}-13 x_{4}+35 x_{5} \\ x_{5}^{\prime }=95 x_{1}-10 x_{2}-38 x_{3}-7 x_{4}+23 x_{5} \end {array}\right ] \]

1003

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=9 x_{1}+13 x_{2}-13 x_{6} \\ x_{2}^{\prime }=-14 x_{1}+19 x_{2}-10 x_{3}-20 x_{4}+10 x_{5}+4 x_{6} \\ x_{3}^{\prime }=-30 x_{1}+12 x_{2}-7 x_{3}-30 x_{4}+12 x_{5}+18 x_{6} \\ x_{4}^{\prime }=-12 x_{1}+10 x_{2}-10 x_{3}-9 x_{4}+10 x_{5}+2 x_{6} \\ x_{5}^{\prime }=6 x_{1}+9 x_{2}+6 x_{4}+5 x_{5}-15 x_{6} \\ x_{6}^{\prime }=-14 x_{1}+23 x_{2}-10 x_{3}-20 x_{4}+10 x_{5} \end {array}\right ] \]

1004

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=9 x_{1}+4 x_{2} \\ x_{2}^{\prime }=-6 x_{1}-x_{2} \\ x_{3}^{\prime }=6 x_{1}+4 x_{2}+3 x_{3} \end {array}\right ] \]

1005

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-3 x_{2} \\ x_{2}^{\prime }=3 x_{1}+7 x_{2} \end {array}\right ] \]

1006

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+2 x_{3} \\ x_{2}^{\prime }=-5 x_{1}-3 x_{2}-7 x_{3} \\ x_{3}^{\prime }=x_{1} \end {array}\right ] \]

1007

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{3} \\ x_{2}^{\prime }=x_{4} \\ x_{3}^{\prime }=-2 x_{1}+2 x_{2}-3 x_{3}+x_{4} \\ x_{4}^{\prime }=2 x_{1}-2 x_{2}+x_{3}-3 x_{4} \end {array}\right ] \]

1008

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2} \\ x_{2}^{\prime }=-x_{1}-4 x_{2} \end {array}\right ] \]

1009

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}+x_{2} \end {array}\right ] \]

1010

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+5 x_{2} \end {array}\right ] \]

1011

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}+5 x_{2} \end {array}\right ] \]

1012

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=7 x_{1}+x_{2} \\ x_{2}^{\prime }=-4 x_{1}+3 x_{2} \end {array}\right ] \]

1013

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}+9 x_{2} \end {array}\right ] \]

1014

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1} \\ x_{2}^{\prime }=-7 x_{1}+9 x_{2}+7 x_{3} \\ x_{3}^{\prime }=2 x_{3} \end {array}\right ] \]

1015

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=25 x_{1}+12 x_{2} \\ x_{2}^{\prime }=-18 x_{1}-5 x_{2} \\ x_{3}^{\prime }=6 x_{1}+6 x_{2}+13 x_{3} \end {array}\right ] \]

1016

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-19 x_{1}+12 x_{2}+84 x_{3} \\ x_{2}^{\prime }=5 x_{2} \\ x_{3}^{\prime }=-8 x_{1}+4 x_{2}+33 x_{3} \end {array}\right ] \]

1017

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-13 x_{1}+40 x_{2}-48 x_{3} \\ x_{2}^{\prime }=-8 x_{1}+23 x_{2}-24 x_{3} \\ x_{3}^{\prime }=3 x_{3} \end {array}\right ] \]

1018

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-4 x_{3} \\ x_{2}^{\prime }=-x_{1}-x_{2}-x_{3} \\ x_{3}^{\prime }=x_{1}+x_{3} \end {array}\right ] \]

1019

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+x_{3} \\ x_{2}^{\prime }=-x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}-x_{2}-x_{3} \end {array}\right ] \]

1020

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+x_{3} \\ x_{2}^{\prime }=x_{2}-4 x_{3} \\ x_{3}^{\prime }=x_{2}-3 x_{3} \end {array}\right ] \]

1021

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{3} \\ x_{2}^{\prime }=-5 x_{1}-x_{2}-5 x_{3} \\ x_{3}^{\prime }=4 x_{1}+x_{2}-2 x_{3} \end {array}\right ] \]

1022

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}-9 x_{2} \\ x_{2}^{\prime }=x_{1}+4 x_{2} \\ x_{3}^{\prime }=x_{1}+3 x_{2}+x_{3} \end {array}\right ] \]

1023

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=-2 x_{1}-2 x_{2}-3 x_{3} \\ x_{3}^{\prime }=2 x_{1}+3 x_{2}+4 x_{3} \end {array}\right ] \]

1024

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=18 x_{1}+7 x_{2}+4 x_{3} \\ x_{3}^{\prime }=-27 x_{1}-9 x_{2}-5 x_{3} \end {array}\right ] \]

1025

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=x_{1}+3 x_{2}+x_{3} \\ x_{3}^{\prime }=-2 x_{1}-4 x_{2}-x_{3} \end {array}\right ] \]

1026

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-4 x_{2}-2 x_{4} \\ x_{2}^{\prime }=x_{2} \\ x_{3}^{\prime }=6 x_{1}-12 x_{2}-x_{3}-6 x_{4} \\ x_{4}^{\prime }=-4 x_{2}-x_{4} \end {array}\right ] \]

1027

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}+x_{4} \\ x_{2}^{\prime }=2 x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{3}+x_{4} \\ x_{4}^{\prime }=2 x_{4} \end {array}\right ] \]

1028

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \\ x_{3}^{\prime }=x_{1}+2 x_{2}+x_{3} \\ x_{4}^{\prime }=x_{2}+x_{4} \end {array}\right ] \]

1029

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+3 x_{2}+7 x_{3} \\ x_{2}^{\prime }=-x_{2}-4 x_{3} \\ x_{3}^{\prime }=x_{2}+3 x_{3} \\ x_{4}^{\prime }=-6 x_{2}-14 x_{3}+x_{4} \end {array}\right ] \]

1030

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=39 x_{1}+8 x_{2}-16 x_{3} \\ x_{2}^{\prime }=-36 x_{1}-5 x_{2}+16 x_{3} \\ x_{3}^{\prime }=72 x_{1}+16 x_{2}-29 x_{3} \end {array}\right ] \]

1031

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=28 x_{1}+50 x_{2}+100 x_{3} \\ x_{2}^{\prime }=15 x_{1}+33 x_{2}+60 x_{3} \\ x_{3}^{\prime }=-15 x_{1}-30 x_{2}-57 x_{3} \end {array}\right ] \]

1032

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+17 x_{2}+4 x_{3} \\ x_{2}^{\prime }=-x_{1}+6 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{2}+2 x_{3} \end {array}\right ] \]

1033

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \\ x_{3}^{\prime }=-3 x_{1}+2 x_{2}+x_{3} \end {array}\right ] \]

1034

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+5 x_{2}-5 x_{3} \\ x_{2}^{\prime }=3 x_{1}-x_{2}+3 x_{3} \\ x_{3}^{\prime }=8 x_{1}-8 x_{2}+10 x_{3} \end {array}\right ] \]

1035

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-15 x_{1}-7 x_{2}+4 x_{3} \\ x_{2}^{\prime }=34 x_{1}+16 x_{2}-11 x_{3} \\ x_{3}^{\prime }=17 x_{1}+7 x_{2}+5 x_{3} \end {array}\right ] \]

1036

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+x_{2}+x_{3}-2 x_{4} \\ x_{2}^{\prime }=7 x_{1}-4 x_{2}-6 x_{3}+11 x_{4} \\ x_{3}^{\prime }=5 x_{1}-x_{2}+x_{3}+3 x_{4} \\ x_{4}^{\prime }=6 x_{1}-2 x_{2}-2 x_{3}+6 x_{4} \end {array}\right ] \]

1037

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}-2 x_{3}+x_{4} \\ x_{2}^{\prime }=3 x_{2}-5 x_{3}+3 x_{4} \\ x_{3}^{\prime }=-13 x_{2}+22 x_{3}-12 x_{4} \\ x_{4}^{\prime }=-27 x_{2}+45 x_{3}-25 x_{4} \end {array}\right ] \]

1038

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=35 x_{1}-12 x_{2}+4 x_{3}+30 x_{4} \\ x_{2}^{\prime }=22 x_{1}-8 x_{2}+3 x_{3}+19 x_{4} \\ x_{3}^{\prime }=-10 x_{1}+3 x_{2}-9 x_{4} \\ x_{4}^{\prime }=-27 x_{1}+9 x_{2}-3 x_{3}-23 x_{4} \end {array}\right ] \]

1039

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=11 x_{1}-x_{2}+26 x_{3}+6 x_{4}-3 x_{5} \\ x_{2}^{\prime }=3 x_{2} \\ x_{3}^{\prime }=-9 x_{1}-24 x_{3}-6 x_{4}+3 x_{5} \\ x_{4}^{\prime }=3 x_{1}+9 x_{3}+5 x_{4}-x_{5} \\ x_{5}^{\prime }=-48 x_{1}-3 x_{2}-138 x_{3}-30 x_{4}+18 x_{5} \end {array}\right ] \]

1040

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2}+x_{3} \\ x_{2}^{\prime }=4 x_{1}+3 x_{2}+x_{4} \\ x_{3}^{\prime }=3 x_{3}-4 x_{4} \\ x_{4}^{\prime }=4 x_{3}+3 x_{4} \end {array}\right ] \]

1041

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-8 x_{3}-3 x_{4} \\ x_{2}^{\prime }=-18 x_{1}-x_{2} \\ x_{3}^{\prime }=-9 x_{1}-3 x_{2}-25 x_{3}-9 x_{4} \\ x_{4}^{\prime }=33 x_{1}+10 x_{2}+90 x_{3}+32 x_{4} \end {array}\right ] \]

1400

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {x_{1}}{10}+\frac {3 x_{2}}{40} \\ x_{2}^{\prime }=\frac {x_{1}}{10}-\frac {x_{2}}{5} \end {array}\right ] \]
i.c.

1401

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=4 x_{1}-x_{2} \end {array}\right ] \]

1402

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

1403

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

1404

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-\frac {5 x_{2}}{2} \\ x_{2}^{\prime }=\frac {9 x_{1}}{5}-x_{2} \end {array}\right ] \]

1405

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}-3 x_{2} \end {array}\right ] \]

1406

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2} \\ x_{2}^{\prime }=-5 x_{1}-x_{2} \end {array}\right ] \]

1407

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-2 x_{3} \\ x_{3}^{\prime }=3 x_{1}+2 x_{2}+x_{3} \end {array}\right ] \]

1408

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+2 x_{3} \\ x_{2}^{\prime }=x_{1}-x_{2} \\ x_{3}^{\prime }=-2 x_{1}-x_{2} \end {array}\right ] \]

1409

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-3 x_{2} \end {array}\right ] \]
i.c.

1410

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+2 x_{2} \\ x_{2}^{\prime }=-x_{1}-x_{2} \end {array}\right ] \]
i.c.

1411

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {3 x_{1}}{4}-2 x_{2} \\ x_{2}^{\prime }=x_{1}-\frac {5 x_{2}}{4} \end {array}\right ] \]

1412

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {4 x_{1}}{5}+2 x_{2} \\ x_{2}^{\prime }=-x_{1}+\frac {6 x_{2}}{5} \end {array}\right ] \]

1413

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {x_{1}}{4}+x_{2} \\ x_{2}^{\prime }=-x_{1}-\frac {x_{2}}{4} \\ x_{3}^{\prime }=-\frac {x_{3}}{4} \end {array}\right ] \]

1414

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {x_{1}}{4}+x_{2} \\ x_{2}^{\prime }=-x_{1}-\frac {x_{2}}{4} \\ x_{3}^{\prime }=\frac {x_{3}}{10} \end {array}\right ] \]

1415

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {x_{1}}{2}-\frac {x_{2}}{8} \\ x_{2}^{\prime }=2 x_{1}-\frac {x_{2}}{2} \end {array}\right ] \]

1416

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

1417

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-2 x_{2} \\ x_{2}^{\prime }=8 x_{1}-4 x_{2} \end {array}\right ] \]

1418

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {3 x_{1}}{2}+x_{2} \\ x_{2}^{\prime }=-\frac {x_{1}}{4}-\frac {x_{2}}{2} \end {array}\right ] \]

1419

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+\frac {5 x_{2}}{2} \\ x_{2}^{\prime }=-\frac {5 x_{1}}{2}+2 x_{2} \end {array}\right ] \]

1420

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-x_{2}+x_{3} \end {array}\right ] \]

1421

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2} \end {array}\right ] \]

1422

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}-7 x_{2} \end {array}\right ] \]
i.c.

1423

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {5 x_{1}}{2}+\frac {3 x_{2}}{2} \\ x_{2}^{\prime }=-\frac {3 x_{1}}{2}+\frac {x_{2}}{2} \end {array}\right ] \]
i.c.

1424

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+\frac {3 x_{2}}{2} \\ x_{2}^{\prime }=-\frac {3 x_{1}}{2}-x_{2} \end {array}\right ] \]
i.c.

1425

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+9 x_{2} \\ x_{2}^{\prime }=-x_{1}-3 x_{2} \end {array}\right ] \]
i.c.

1426

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=-4 x_{1}+x_{2} \\ x_{3}^{\prime }=3 x_{1}+6 x_{2}+2 x_{3} \end {array}\right ] \]
i.c.

1427

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {5 x_{1}}{2}+x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}-\frac {5 x_{2}}{2}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2}-\frac {5 x_{3}}{2} \end {array}\right ] \]
i.c.

1428

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2}+t \end {array}\right ] \]

1429

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+\sqrt {3}\, x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=\sqrt {3}\, x_{1}-x_{2}+\sqrt {3}\, {\mathrm e}^{-t} \end {array}\right ] \]

1430

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2}-\cos \left (t \right ) \\ x_{2}^{\prime }=x_{1}-2 x_{2}+\sin \left (t \right ) \end {array}\right ] \]

1431

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+{\mathrm e}^{-2 t} \\ x_{2}^{\prime }=4 x_{1}-2 x_{2}-2 \,{\mathrm e}^{t} \end {array}\right ] \]

1432

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-2 x_{2}+\frac {1}{t^{3}} \\ x_{2}^{\prime }=8 x_{1}-4 x_{2}-\frac {1}{t^{2}} \end {array}\right ] \]

1433

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}+2 x_{2}+\frac {1}{t} \\ x_{2}^{\prime }=2 x_{1}-x_{2}+\frac {2}{t}+4 \end {array}\right ] \]

1434

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+2 \,{\mathrm e}^{t} \\ x_{2}^{\prime }=4 x_{1}+x_{2}-{\mathrm e}^{t} \end {array}\right ] \]

1435

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2}-{\mathrm e}^{t} \end {array}\right ] \]

1436

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {5 x_{1}}{4}+\frac {3 x_{2}}{4}+2 t \\ x_{2}^{\prime }=\frac {3 x_{1}}{4}-\frac {5 x_{2}}{4}+{\mathrm e}^{t} \end {array}\right ] \]

1437

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+\sqrt {2}\, x_{2}+{\mathrm e}^{-t} \\ x_{2}^{\prime }=\sqrt {2}\, x_{1}-2 x_{2}-{\mathrm e}^{-t} \end {array}\right ] \]

1438

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2}+\cos \left (t \right ) \end {array}\right ] \]

1439

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2}+\csc \left (t \right ) \\ x_{2}^{\prime }=x_{1}-2 x_{2}+\sec \left (t \right ) \end {array}\right ] \]

1440

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {x_{1}}{2}-\frac {x_{2}}{8}+\frac {{\mathrm e}^{-\frac {t}{2}}}{2} \\ x_{2}^{\prime }=2 x_{1}-\frac {x_{2}}{2} \end {array}\right ] \]

1441

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2}+2 \,{\mathrm e}^{-t} \\ x_{2}^{\prime }=x_{1}-2 x_{2}+3 t \end {array}\right ] \]
i.c.

1442

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}-2 x_{2} \end {array}\right ] \]

1443

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-x_{2} \\ x_{2}^{\prime }=3 x_{1}+x_{2} \end {array}\right ] \]

1444

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2} \end {array}\right ] \]

1445

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}-7 x_{2} \end {array}\right ] \]

1446

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-3 x_{2} \end {array}\right ] \]

1447

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

1448

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=4 x_{1}-x_{2} \end {array}\right ] \]

1449

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-x_{2} \\ x_{2}^{\prime }=-\frac {5 x_{2}}{2} \end {array}\right ] \]

1450

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

1451

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2} \\ x_{2}^{\prime }=-5 x_{1} \end {array}\right ] \]

1452

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1} \\ x_{2}^{\prime }=-x_{2} \end {array}\right ] \]

1453

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-\frac {5 x_{2}}{2} \\ x_{2}^{\prime }=\frac {9 x_{1}}{5}-x_{2} \end {array}\right ] \]

1454

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}-2 \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

1455

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2}-2 \\ x_{2}^{\prime }=x_{1}-2 x_{2}+1 \end {array}\right ] \]

1456

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-x_{2}-1 \\ x_{2}^{\prime }=2 x_{1}-x_{2}+5 \end {array}\right ] \]

1457

\[ {}\left [\begin {array}{c} x^{\prime }=-x \\ y^{\prime }=-2 y \end {array}\right ] \]
i.c.

1458

\[ {}\left [\begin {array}{c} x^{\prime }=-x \\ y^{\prime }=2 y \end {array}\right ] \]
i.c.

1459

\[ {}\left [\begin {array}{c} x^{\prime }=-x \\ y^{\prime }=2 y \end {array}\right ] \]
i.c.

1460

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=x \end {array}\right ] \]
i.c.

1461

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=x \end {array}\right ] \]
i.c.

2239

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+2 y_{2} \\ y_{2}^{\prime }=2 y_{1}+y_{2} \end {array}\right ] \]

2240

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-\frac {5 y_{1}}{4}+\frac {3 y_{2}}{4} \\ y_{2}^{\prime }=\frac {3 y_{1}}{4}-\frac {5 y_{2}}{4} \end {array}\right ] \]

2241

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-\frac {4 y_{1}}{5}+\frac {3 y_{2}}{5} \\ y_{2}^{\prime }=-\frac {2 y_{1}}{5}-\frac {11 y_{2}}{5} \end {array}\right ] \]

2242

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{1}-4 y_{2} \\ y_{2}^{\prime }=-y_{1}-y_{2} \end {array}\right ] \]

2243

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}-4 y_{2} \\ y_{2}^{\prime }=-y_{1}-y_{2} \end {array}\right ] \]

2244

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{1}-3 y_{2} \\ y_{2}^{\prime }=2 y_{1}-y_{2} \end {array}\right ] \]

2245

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-6 y_{1}-3 y_{2} \\ y_{2}^{\prime }=y_{1}-2 y_{2} \end {array}\right ] \]

2246

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}-y_{2}-2 y_{3} \\ y_{2}^{\prime }=y_{1}-2 y_{2}-3 y_{3} \\ y_{3}^{\prime }=-4 y_{1}+y_{2}-y_{3} \end {array}\right ] \]

2247

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-6 y_{1}-4 y_{2}-8 y_{3} \\ y_{2}^{\prime }=-4 y_{1}-4 y_{3} \\ y_{3}^{\prime }=-8 y_{1}-4 y_{2}-6 y_{3} \end {array}\right ] \]

2248

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}+5 y_{2}+8 y_{3} \\ y_{2}^{\prime }=y_{1}-y_{2}-2 y_{3} \\ y_{3}^{\prime }=-y_{1}-y_{2}-y_{3} \end {array}\right ] \]

2249

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}-y_{2}+2 y_{3} \\ y_{2}^{\prime }=12 y_{1}-4 y_{2}+10 y_{3} \\ y_{3}^{\prime }=-6 y_{1}+y_{2}-7 y_{3} \end {array}\right ] \]

2250

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{1}-y_{2}-4 y_{3} \\ y_{2}^{\prime }=4 y_{1}-3 y_{2}-2 y_{3} \\ y_{3}^{\prime }=y_{1}-y_{2}-y_{3} \end {array}\right ] \]

2251

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-2 y_{1}+2 y_{2}-6 y_{3} \\ y_{2}^{\prime }=2 y_{1}+6 y_{2}+2 y_{3} \\ y_{3}^{\prime }=-2 y_{1}-2 y_{2}+2 y_{3} \end {array}\right ] \]

2252

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}+2 y_{2}-2 y_{3} \\ y_{2}^{\prime }=-2 y_{1}+7 y_{2}-2 y_{3} \\ y_{3}^{\prime }=-10 y_{1}+10 y_{2}-5 y_{3} \end {array}\right ] \]

2253

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}+y_{2}-y_{3} \\ y_{2}^{\prime }=3 y_{1}+5 y_{2}+y_{3} \\ y_{3}^{\prime }=-6 y_{1}+2 y_{2}+4 y_{3} \end {array}\right ] \]

2254

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}+4 y_{2} \\ y_{2}^{\prime }=-y_{1}+7 y_{2} \end {array}\right ] \]

2255

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{2} \\ y_{2}^{\prime }=y_{1}-2 y_{2} \end {array}\right ] \]

2256

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-7 y_{1}+4 y_{2} \\ y_{2}^{\prime }=-y_{1}-11 y_{2} \end {array}\right ] \]

2257

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}+y_{2} \\ y_{2}^{\prime }=-y_{1}+y_{2} \end {array}\right ] \]

2258

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{1}+12 y_{2} \\ y_{2}^{\prime }=-3 y_{1}-8 y_{2} \end {array}\right ] \]

2259

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-10 y_{1}+9 y_{2} \\ y_{2}^{\prime }=-4 y_{1}+2 y_{2} \end {array}\right ] \]

2260

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-13 y_{1}+16 y_{2} \\ y_{2}^{\prime }=-9 y_{1}+11 y_{2} \end {array}\right ] \]

2261

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{2}+y_{3} \\ y_{2}^{\prime }=-4 y_{1}+6 y_{2}+y_{3} \\ y_{3}^{\prime }=4 y_{2}+2 y_{3} \end {array}\right ] \]

2262

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=\frac {y_{1}}{3}+\frac {y_{2}}{3}-y_{3} \\ y_{2}^{\prime }=-\frac {4 y_{1}}{3}-\frac {4 y_{2}}{3}+y_{3} \\ y_{3}^{\prime }=-\frac {2 y_{1}}{3}+\frac {y_{2}}{3} \end {array}\right ] \]

2263

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{1}+y_{2}-y_{3} \\ y_{2}^{\prime }=-2 y_{1}+2 y_{3} \\ y_{3}^{\prime }=-y_{1}+3 y_{2}-y_{3} \end {array}\right ] \]

2264

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{1}-2 y_{2}-2 y_{3} \\ y_{2}^{\prime }=-2 y_{1}+3 y_{2}-y_{3} \\ y_{3}^{\prime }=2 y_{1}-y_{2}+3 y_{3} \end {array}\right ] \]

2265

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=6 y_{1}-5 y_{2}+3 y_{3} \\ y_{2}^{\prime }=2 y_{1}-y_{2}+3 y_{3} \\ y_{3}^{\prime }=2 y_{1}+y_{2}+y_{3} \end {array}\right ] \]

2266

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-11 y_{1}+8 y_{2} \\ y_{2}^{\prime }=-2 y_{1}-3 y_{2} \end {array}\right ] \]
i.c.

2267

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=15 y_{1}-9 y_{2} \\ y_{2}^{\prime }=16 y_{1}-9 y_{2} \end {array}\right ] \]
i.c.

2268

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-3 y_{1}-4 y_{2} \\ y_{2}^{\prime }=y_{1}-7 y_{2} \end {array}\right ] \]
i.c.

2269

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-7 y_{1}+24 y_{2} \\ y_{2}^{\prime }=-6 y_{1}+17 y_{2} \end {array}\right ] \]
i.c.

2270

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-7 y_{1}+3 y_{2} \\ y_{2}^{\prime }=-3 y_{1}-y_{2} \end {array}\right ] \]
i.c.

2271

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{1}+y_{2} \\ y_{2}^{\prime }=y_{1}-y_{2}-2 y_{3} \\ y_{3}^{\prime }=-y_{1}-y_{2}-y_{3} \end {array}\right ] \]
i.c.

2272

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-2 y_{1}+2 y_{2}+y_{3} \\ y_{2}^{\prime }=-2 y_{1}+2 y_{2}+y_{3} \\ y_{3}^{\prime }=-3 y_{1}+3 y_{2}+2 y_{3} \end {array}\right ] \]
i.c.

2273

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-7 y_{1}-4 y_{2}+4 y_{3} \\ y_{2}^{\prime }=y_{1}+y_{3} \\ y_{3}^{\prime }=-9 y_{1}-5 y_{2}+6 y_{3} \end {array}\right ] \]
i.c.

2274

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{1}-4 y_{2}-y_{3} \\ y_{2}^{\prime }=3 y_{1}+6 y_{2}+y_{3} \\ y_{3}^{\prime }=-3 y_{1}-2 y_{2}+3 y_{3} \end {array}\right ] \]
i.c.

2275

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{1}-8 y_{2}-4 y_{3} \\ y_{2}^{\prime }=-3 y_{1}-y_{2}-4 y_{3} \\ y_{3}^{\prime }=y_{1}-y_{2}+9 y_{3} \end {array}\right ] \]
i.c.

2276

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-5 y_{1}-y_{2}+11 y_{3} \\ y_{2}^{\prime }=-7 y_{1}+y_{2}+13 y_{3} \\ y_{3}^{\prime }=-4 y_{1}+8 y_{3} \end {array}\right ] \]
i.c.

2277

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=5 y_{1}-y_{2}+y_{3} \\ y_{2}^{\prime }=-y_{1}+9 y_{2}-3 y_{3} \\ y_{3}^{\prime }=-2 y_{1}+2 y_{2}+4 y_{3} \end {array}\right ] \]

2278

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+10 y_{2}-12 y_{3} \\ y_{2}^{\prime }=2 y_{1}+2 y_{2}+3 y_{3} \\ y_{3}^{\prime }=2 y_{1}-y_{2}+6 y_{3} \end {array}\right ] \]

2279

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-6 y_{1}-4 y_{2}-4 y_{3} \\ y_{2}^{\prime }=2 y_{1}-y_{2}+y_{3} \\ y_{3}^{\prime }=2 y_{1}+3 y_{2}+y_{3} \end {array}\right ] \]

2280

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{2}-2 y_{3} \\ y_{2}^{\prime }=-y_{1}+5 y_{2}-3 y_{3} \\ y_{3}^{\prime }=y_{1}+y_{2}+y_{3} \end {array}\right ] \]

2281

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-2 y_{1}-12 y_{2}+10 y_{3} \\ y_{2}^{\prime }=2 y_{1}-24 y_{2}+11 y_{3} \\ y_{3}^{\prime }=2 y_{1}-24 y_{2}+8 y_{3} \end {array}\right ] \]

2282

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{1}-12 y_{2}+8 y_{3} \\ y_{2}^{\prime }=y_{1}-9 y_{2}+4 y_{3} \\ y_{3}^{\prime }=y_{1}-6 y_{2}+y_{3} \end {array}\right ] \]

2283

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-4 y_{1}-y_{3} \\ y_{2}^{\prime }=-y_{1}-3 y_{2}-y_{3} \\ y_{3}^{\prime }=y_{1}-2 y_{3} \end {array}\right ] \]

2284

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-3 y_{1}-3 y_{2}+4 y_{3} \\ y_{2}^{\prime }=4 y_{1}+5 y_{2}-8 y_{3} \\ y_{3}^{\prime }=2 y_{1}+3 y_{2}-5 y_{3} \end {array}\right ] \]

2285

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-3 y_{1}-y_{2} \\ y_{2}^{\prime }=y_{1}-y_{2} \\ y_{3}^{\prime }=-y_{1}-y_{2}-2 y_{3} \end {array}\right ] \]

2286

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{1}+2 y_{2} \\ y_{2}^{\prime }=-5 y_{1}+5 y_{2} \end {array}\right ] \]

2287

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-11 y_{1}+4 y_{2} \\ y_{2}^{\prime }=-26 y_{1}+9 y_{2} \end {array}\right ] \]

2288

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+2 y_{2} \\ y_{2}^{\prime }=-4 y_{1}+5 y_{2} \end {array}\right ] \]

2289

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=5 y_{1}-6 y_{2} \\ y_{2}^{\prime }=3 y_{1}-y_{2} \end {array}\right ] \]

2290

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-3 y_{1}-3 y_{2}+y_{3} \\ y_{2}^{\prime }=2 y_{2}+2 y_{3} \\ y_{3}^{\prime }=5 y_{1}+y_{2}+y_{3} \end {array}\right ] \]

2291

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-3 y_{1}+3 y_{2}+y_{3} \\ y_{2}^{\prime }=y_{1}-5 y_{2}-3 y_{3} \\ y_{3}^{\prime }=-3 y_{1}+7 y_{2}+3 y_{3} \end {array}\right ] \]

2292

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}+y_{2}-y_{3} \\ y_{2}^{\prime }=y_{2}+y_{3} \\ y_{3}^{\prime }=y_{1}+y_{3} \end {array}\right ] \]

2293

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-3 y_{1}+y_{2}-3 y_{3} \\ y_{2}^{\prime }=4 y_{1}-y_{2}+2 y_{3} \\ y_{3}^{\prime }=4 y_{1}-2 y_{2}+3 y_{3} \end {array}\right ] \]

2698

\[ {}\left [\begin {array}{c} x^{\prime }=6 x-3 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

2699

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y+t \\ y^{\prime }=-4 x+3 y-1 \end {array}\right ] \]

2700

\[ {}\left [\begin {array}{c} x^{\prime }=6 x-3 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

2701

\[ {}\left [\begin {array}{c} x^{\prime }=x+y+{\mathrm e}^{t} \\ y^{\prime }=x-y-{\mathrm e}^{t} \end {array}\right ] \]

2702

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=4 x+y \end {array}\right ] \]
i.c.

2703

\[ {}\left [\begin {array}{c} x^{\prime }=x-3 y \\ y^{\prime }=-2 x+2 y \end {array}\right ] \]
i.c.

2704

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=5 x-3 y \end {array}\right ] \]
i.c.

2705

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y \\ y^{\prime }=4 x-y \end {array}\right ] \]
i.c.

2706

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+5 y+4 \,{\mathrm e}^{t} \cos \left (t \right ) \\ y^{\prime }=-2 x-2 y \end {array}\right ] \]
i.c.

2707

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-4 y+{\mathrm e}^{t} \\ y^{\prime }=x-y+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

2708

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-5 y+\sin \left (t \right ) \\ y^{\prime }=x-2 y+\tan \left (t \right ) \end {array}\right ] \]
i.c.

2709

\[ {}\left [\begin {array}{c} x^{\prime }=y+\textit {f\_1} \left (t \right ) \\ y^{\prime }=-x+f_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2728

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=6 x_{1}-3 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

2729

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2} \\ x_{2}^{\prime }=-4 x_{1}+3 x_{2} \end {array}\right ] \]

2730

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}+4 x_{3} \\ x_{2}^{\prime }=2 x_{1}+2 x_{3} \\ x_{3}^{\prime }=4 x_{1}+2 x_{2}+3 x_{3} \end {array}\right ] \]

2731

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=7 x_{1}-x_{2}+6 x_{3} \\ x_{2}^{\prime }=-10 x_{1}+4 x_{2}-12 x_{3} \\ x_{3}^{\prime }=-2 x_{1}+x_{2}-x_{3} \end {array}\right ] \]

2732

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-7 x_{1}+6 x_{3} \\ x_{2}^{\prime }=5 x_{2} \\ x_{3}^{\prime }=6 x_{1}+2 x_{3} \end {array}\right ] \]

2733

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}+3 x_{3}+6 x_{4} \\ x_{2}^{\prime }=3 x_{1}+6 x_{2}+9 x_{3}+18 x_{4} \\ x_{3}^{\prime }=5 x_{1}+10 x_{2}+15 x_{3}+30 x_{4} \\ x_{4}^{\prime }=7 x_{1}+14 x_{2}+21 x_{3}+42 x_{4} \end {array}\right ] \]

2734

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2} \\ x_{2}^{\prime }=4 x_{1}+x_{2} \end {array}\right ] \]
i.c.

2735

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-3 x_{2} \\ x_{2}^{\prime }=-2 x_{1}+2 x_{2} \end {array}\right ] \]
i.c.

2736

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{2}-x_{3} \\ x_{2}^{\prime }=x_{1}+3 x_{2}-x_{3} \\ x_{3}^{\prime }=3 x_{1}+3 x_{2}-x_{3} \end {array}\right ] \]
i.c.

2737

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}+2 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}+10 x_{2}+2 x_{3} \end {array}\right ] \]
i.c.

2738

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-3 x_{2}+2 x_{3} \\ x_{2}^{\prime }=-x_{2} \\ x_{3}^{\prime }=-x_{2}-2 x_{3} \end {array}\right ] \]
i.c.

2739

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{2}-2 x_{3} \\ x_{2}^{\prime }=-x_{1}+2 x_{2}+x_{3} \\ x_{3}^{\prime }=4 x_{1}+x_{2}-3 x_{3} \end {array}\right ] \]
i.c.

2740

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+2 x_{2} \\ x_{2}^{\prime }=-x_{1}-x_{2} \end {array}\right ] \]

2741

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-3 x_{2} \\ x_{3}^{\prime }=x_{3} \end {array}\right ] \]

2742

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=3 x_{1}+x_{2}-2 x_{3} \\ x_{3}^{\prime }=2 x_{1}+2 x_{2}+x_{3} \end {array}\right ] \]

2743

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{3} \\ x_{2}^{\prime }=x_{2}-x_{3} \\ x_{3}^{\prime }=-2 x_{1}-x_{3} \end {array}\right ] \]

2744

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}-3 x_{2} \end {array}\right ] \]
i.c.

2745

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=4 x_{1}-x_{2} \end {array}\right ] \]
i.c.

2746

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+2 x_{3} \\ x_{2}^{\prime }=x_{1}-x_{2} \\ x_{3}^{\prime }=-2 x_{1}-x_{2} \end {array}\right ] \]
i.c.

2747

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{2} \\ x_{2}^{\prime }=-2 x_{1} \\ x_{3}^{\prime }=-3 x_{4} \\ x_{4}^{\prime }=3 x_{3} \end {array}\right ] \]
i.c.

2748

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2} \\ x_{2}^{\prime }=x_{2} \\ x_{3}^{\prime }=2 x_{3} \end {array}\right ] \]

2749

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}+3 x_{3} \\ x_{2}^{\prime }=2 x_{2}-x_{3} \\ x_{3}^{\prime }=2 x_{3} \end {array}\right ] \]
i.c.

2750

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}-3 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}-x_{2}-x_{3} \end {array}\right ] \]

2751

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-3 x_{1}+2 x_{2}+4 x_{3} \end {array}\right ] \]

2752

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-x_{2} \\ x_{2}^{\prime }=-x_{2} \\ x_{3}^{\prime }=-2 x_{3} \end {array}\right ] \]

2753

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{3} \\ x_{2}^{\prime }=2 x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{3} \\ x_{4}^{\prime }=-x_{3}+2 x_{4} \end {array}\right ] \]

2754

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+x_{2}+2 x_{3} \\ x_{2}^{\prime }=-x_{1}+x_{2}+x_{3} \\ x_{3}^{\prime }=-2 x_{1}+x_{2}+3 x_{3} \end {array}\right ] \]
i.c.

2755

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}-4 x_{2} \\ x_{2}^{\prime }=10 x_{1}+9 x_{2}+x_{3} \\ x_{3}^{\prime }=-4 x_{1}-3 x_{2}+x_{3} \end {array}\right ] \]
i.c.

2756

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}-3 x_{3} \\ x_{2}^{\prime }=x_{1}+x_{2}+2 x_{3} \\ x_{3}^{\prime }=x_{1}-x_{2}+4 x_{3} \end {array}\right ] \]
i.c.

2757

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \\ x_{3}^{\prime }=3 x_{3} \\ x_{4}^{\prime }=2 x_{3}+3 x_{4} \end {array}\right ] \]
i.c.

2758

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-2 x_{3} \\ x_{3}^{\prime }=3 x_{1}+2 x_{2}+x_{3}+{\mathrm e}^{t} \cos \left (2 t \right ) \end {array}\right ] \]

2759

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+{\mathrm e}^{c t} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-2 x_{3} \\ x_{3}^{\prime }=3 x_{1}+2 x_{2}+x_{3} \end {array}\right ] \]

2760

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+5 x_{2}+4 \,{\mathrm e}^{t} \cos \left (t \right ) \\ x_{2}^{\prime }=-2 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

2761

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=x_{1}-x_{2}+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

2762

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2}+\sin \left (t \right ) \\ x_{2}^{\prime }=x_{1}-2 x_{2}+\tan \left (t \right ) \end {array}\right ] \]
i.c.

2763

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+f_{1} \left (t \right ) \\ x_{2}^{\prime }=-x_{1}+f_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2764

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{3}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }=2 x_{2} \\ x_{3}^{\prime }=x_{2}+3 x_{3}+{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

2765

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-x_{2}-2 x_{3}+{\mathrm e}^{t} \\ x_{2}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}+3 x_{3} \end {array}\right ] \]
i.c.

2766

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}+{\mathrm e}^{3 t} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2}+{\mathrm e}^{3 t} \end {array}\right ] \]

2767

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}-t^{2} \\ x_{2}^{\prime }=x_{1}+3 x_{2}+2 t \end {array}\right ] \]

2768

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+3 x_{2}+2 x_{3}+\sin \left (t \right ) \\ x_{2}^{\prime }=-x_{1}+2 x_{2}+x_{3} \\ x_{3}^{\prime }=4 x_{1}-x_{2}-x_{3} \end {array}\right ] \]

2769

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}-3 x_{3}+{\mathrm e}^{t} \\ x_{2}^{\prime }=x_{1}+x_{2}+2 x_{3} \\ x_{3}^{\prime }=x_{1}-x_{2}+4 x_{3}-{\mathrm e}^{t} \end {array}\right ] \]

2770

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-x_{2}+1 \\ x_{2}^{\prime }=-4 x_{2}-x_{3}+t \\ x_{3}^{\prime }=5 x_{2}+{\mathrm e}^{t} \end {array}\right ] \]

2771

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}-x_{3}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }=2 x_{1}+3 x_{2}-4 x_{3}+2 \,{\mathrm e}^{2 t} \\ x_{3}^{\prime }=4 x_{1}+x_{2}-4 x_{3}+{\mathrm e}^{2 t} \end {array}\right ] \]

2772

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}-x_{3}+{\mathrm e}^{3 t} \\ x_{2}^{\prime }=x_{1}+3 x_{2}+x_{3}-{\mathrm e}^{3 t} \\ x_{3}^{\prime }=-3 x_{1}+x_{2}-x_{3}-{\mathrm e}^{3 t} \end {array}\right ] \]

2773

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}+4 x_{3}+2 \,{\mathrm e}^{8 t} \\ x_{2}^{\prime }=2 x_{1}+2 x_{3}+{\mathrm e}^{8 t} \\ x_{3}^{\prime }=4 x_{1}+2 x_{2}+3 x_{3}+2 \,{\mathrm e}^{8 t} \end {array}\right ] \]

2774

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-3 x_{2} \\ x_{2}^{\prime }=-2 x_{1}+2 x_{2} \end {array}\right ] \]
i.c.

2775

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}-3 x_{2} \end {array}\right ] \]
i.c.

2776

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2}+t \\ x_{2}^{\prime }=2 x_{1}-2 x_{2}+3 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

2777

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+2 \,{\mathrm e}^{t} \\ x_{2}^{\prime }=4 x_{1}+x_{2}-{\mathrm e}^{t} \end {array}\right ] \]
i.c.

2778

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=x_{1}-x_{2}+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

2779

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2}+\sin \left (t \right ) \\ x_{2}^{\prime }=x_{1}-2 x_{2}+\tan \left (t \right ) \end {array}\right ] \]
i.c.

2780

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+5 x_{2}+4 \,{\mathrm e}^{t} \cos \left (t \right ) \\ x_{2}^{\prime }=-2 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

2781

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+f_{1} \left (t \right ) \\ x_{2}^{\prime }=-x_{1}+f_{2} \left (t \right ) \end {array}\right ] \]
i.c.

2782

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-2 x_{2} \\ x_{2}^{\prime }=4 x_{1}-2 x_{2}+\delta \left (t -\pi \right ) \end {array}\right ] \]
i.c.

2783

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2}+1-\operatorname {Heaviside}\left (t -\pi \right ) \\ x_{2}^{\prime }=2 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

2784

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}-3 x_{3} \\ x_{2}^{\prime }=x_{1}+x_{2}+2 x_{3} \\ x_{3}^{\prime }=x_{1}-x_{2}+4 x_{3} \end {array}\right ] \]
i.c.

2785

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{3}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }=2 x_{2} \\ x_{3}^{\prime }=3 x_{3}+{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

2786

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-x_{2}+2 x_{3}+{\mathrm e}^{t} \\ x_{2}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}+3 x_{3} \end {array}\right ] \]
i.c.

2787

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-2 x_{3} \\ x_{3}^{\prime }=3 x_{1}+2 x_{2}+x_{3}+{\mathrm e}^{t} \cos \left (2 t \right ) \end {array}\right ] \]
i.c.

2788

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \\ x_{3}^{\prime }=3 x_{3} \\ x_{4}^{\prime }=2 x_{3}+3 x_{4} \end {array}\right ] \]
i.c.

2789

\[ {}\left [\begin {array}{c} x^{\prime }=x-x^{2}-2 x y \\ y^{\prime }=2 y-2 y^{2}-3 x y \end {array}\right ] \]

2790

\[ {}\left [\begin {array}{c} x^{\prime }=-b x y+m \\ y^{\prime }=b x y-g y \end {array}\right ] \]

2791

\[ {}\left [\begin {array}{c} x^{\prime }=a x-b x y \\ y^{\prime }=-c y+d x y \\ z^{\prime }=z+x^{2}+y^{2} \end {array}\right ] \]

2792

\[ {}\left [\begin {array}{c} x^{\prime }=-x-x \,y^{2} \\ y^{\prime }=-y-y \,x^{2} \\ z^{\prime }=1-z+x^{2} \end {array}\right ] \]

2793

\[ {}\left [\begin {array}{c} x^{\prime }=x \,y^{2}-x \\ y^{\prime }=x \sin \left (\pi y\right ) \end {array}\right ] \]

2794

\[ {}\left [\begin {array}{c} x^{\prime }=\cos \left (y\right ) \\ y^{\prime }=\sin \left (x\right )-1 \end {array}\right ] \]

2795

\[ {}\left [\begin {array}{c} x^{\prime }=-1-y-{\mathrm e}^{x} \\ y^{\prime }=x^{2}+y \left ({\mathrm e}^{x}-1\right ) \\ z^{\prime }=x+\sin \left (z\right ) \end {array}\right ] \]

2796

\[ {}\left [\begin {array}{c} x^{\prime }=x-y^{2} \\ y^{\prime }=x^{2}-y \\ z^{\prime }={\mathrm e}^{z}-x \end {array}\right ] \]

2797

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=2 x-y \end {array}\right ] \]
i.c.

2798

\[ {}\left [\begin {array}{c} x^{\prime }=x+y+z-2 \,{\mathrm e}^{-t} \\ y^{\prime }=2 x+y-z-2 \,{\mathrm e}^{-t} \\ z^{\prime }=-3 x+2 y+4 z+3 \,{\mathrm e}^{-t} \end {array}\right ] \]
i.c.

2799

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=-2 x-2 y \end {array}\right ] \]

2800

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-4 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

2801

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x+3 y \\ y^{\prime }=y-x \end {array}\right ] \]

2802

\[ {}\left [\begin {array}{c} x^{\prime }=x-4 y \\ y^{\prime }=4 x-7 y \end {array}\right ] \]

2803

\[ {}\left [\begin {array}{c} x^{\prime }=-7 x+y-6 z \\ y^{\prime }=10 x-4 y+12 z \\ z^{\prime }=2 x-y+z \end {array}\right ] \]

2804

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+2 y+4 z \\ y^{\prime }=2 x+2 z \\ z^{\prime }=4 x+2 y+3 z \end {array}\right ] \]

2805

\[ {}\left [\begin {array}{c} x^{\prime }=2 y+z \\ y^{\prime }=-x-3 y-z \\ z^{\prime }=x+y-z \end {array}\right ] \]

2806

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y+z \\ y^{\prime }=-3 x+2 y+3 z \\ z^{\prime }=x-y-2 z \end {array}\right ] \]

2807

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-2 x \\ z^{\prime }=2 h \\ h^{\prime }=-2 z \end {array}\right ] \]

2808

\[ {}\left [\begin {array}{c} x^{\prime }=2 y+z \\ y^{\prime }=-2 x+h \\ z^{\prime }=2 h \\ h^{\prime }=-2 z \end {array}\right ] \]

2812

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=-\frac {\left (x_{1}^{2}+\sqrt {x_{1}^{2}+4 x_{2}^{2}}\right ) x_{1}}{2} \end {array}\right ] \]

2813

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-x_{2}+1 \\ x_{2}^{\prime }=2 x_{1}-x_{2}+5 \end {array}\right ] \]

2814

\[ {}\left [\begin {array}{c} x^{\prime }=x-x^{3}-x y \\ y^{\prime }=2 y-y^{5}-y \,x^{4} \end {array}\right ] \]

2815

\[ {}\left [\begin {array}{c} x^{\prime }=x^{2}+y^{2}+1 \\ y^{\prime }=x^{2}-y^{2} \end {array}\right ] \]

2816

\[ {}\left [\begin {array}{c} x^{\prime }=x^{2}+y^{2}-1 \\ y^{\prime }=2 x y \end {array}\right ] \]

2817

\[ {}\left [\begin {array}{c} x^{\prime }=6 x-6 x^{2}-2 x y \\ y^{\prime }=4 y-4 y^{2}-2 x y \end {array}\right ] \]

2818

\[ {}\left [\begin {array}{c} x^{\prime }=\tan \left (x+y\right ) \\ y^{\prime }=x+x^{3} \end {array}\right ] \]

2819

\[ {}\left [\begin {array}{c} x^{\prime }={\mathrm e}^{y}-x \\ y^{\prime }={\mathrm e}^{x}+y \end {array}\right ] \]

2825

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-5 x_{1}+x_{2} \\ x_{2}^{\prime }=x_{1}-5 x_{2} \end {array}\right ] \]

2826

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{2} \\ x_{2}^{\prime }=8 x_{1}-6 x_{2} \end {array}\right ] \]

2827

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-x_{2} \\ x_{2}^{\prime }=-2 x_{1}+5 x_{2} \end {array}\right ] \]

2828

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}-6 x_{2} \end {array}\right ] \]

2829

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-4 x_{2} \\ x_{2}^{\prime }=-8 x_{1}+4 x_{2} \end {array}\right ] \]

2830

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}-3 x_{2} \end {array}\right ] \]

2831

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{2} \\ x_{2}^{\prime }=-2 x_{1}-x_{2} \end {array}\right ] \]

2832

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}-3 x_{2} \end {array}\right ] \]

2833

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2} \\ x_{2}^{\prime }=-5 x_{1}-2 x_{2} \end {array}\right ] \]

2834

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{2} \\ x_{2}^{\prime }=-9 x_{1} \end {array}\right ] \]

3237

\[ {}\left [\begin {array}{c} x^{\prime }-x=\cos \left (t \right ) \\ y^{\prime }+y=4 t \end {array}\right ] \]

3238

\[ {}\left [\begin {array}{c} x^{\prime }+5 x=3 t^{2} \\ y^{\prime }+y={\mathrm e}^{3 t} \end {array}\right ] \]

3239

\[ {}\left [\begin {array}{c} x^{\prime }+2 x=3 t \\ x^{\prime }+2 y^{\prime }+y=\cos \left (2 t \right ) \end {array}\right ] \]

3240

\[ {}\left [\begin {array}{c} x^{\prime }-x+y=2 \sin \left (t \right ) \\ x^{\prime }+y^{\prime }=3 y-3 x \end {array}\right ] \]

3241

\[ {}\left [\begin {array}{c} 2 x^{\prime }+3 x-y={\mathrm e}^{t} \\ 5 x-3 y^{\prime }=y+2 t \end {array}\right ] \]

3242

\[ {}\left [\begin {array}{c} 5 y^{\prime }-3 x^{\prime }-5 y=5 t \\ 3 x^{\prime }-5 y^{\prime }-2 x=0 \end {array}\right ] \]

3243

\[ {}\left [\begin {array}{c} x^{\prime }=3 x \\ y^{\prime }=2 x+3 y \\ z^{\prime }=3 y-2 z \end {array}\right ] \]

3810

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2} \\ x_{2}^{\prime }=2 x_{1}+3 x_{2} \end {array}\right ] \]

3811

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-3 x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

3812

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+2 x_{2} \\ x_{2}^{\prime }=x_{2}-x_{1} \end {array}\right ] \]

3813

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+4 x_{2} \\ x_{2}^{\prime }=-4 x_{1}-6 x_{2} \end {array}\right ] \]

3814

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{2} \\ x_{2}^{\prime }=-2 x_{1} \end {array}\right ] \]

3815

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-3 x_{2} \\ x_{2}^{\prime }=3 x_{1}+x_{2} \end {array}\right ] \]

3816

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1} \\ x_{2}^{\prime }=x_{2}-x_{3} \\ x_{3}^{\prime }=x_{2}+x_{3} \end {array}\right ] \]

3817

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}-x_{2}+3 x_{3} \\ x_{3}^{\prime }=-x_{2}-3 x_{3} \end {array}\right ] \]

3818

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{2} \\ x_{2}^{\prime }=x_{1}+x_{2} \end {array}\right ] \]
i.c.

3819

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+5 x_{2} \\ x_{2}^{\prime }=-x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

3820

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2} \\ x_{2}^{\prime }=-x_{1}+4 x_{2} \end {array}\right ] \]
i.c.

3821

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}+5 \,{\mathrm e}^{4 t} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

3822

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2}+t \\ x_{2}^{\prime }=-2 x_{1}+x_{2}+1 \end {array}\right ] \]

3823

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }=3 x_{1}-x_{2}+5 \,{\mathrm e}^{2 t} \end {array}\right ] \]

3824

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\tan \left (t \right ) x_{1}+3 \cos \left (t \right )^{2} \\ x_{2}^{\prime }=x_{1}+\tan \left (t \right ) x_{2}+2 \sin \left (t \right ) \end {array}\right ] \]
i.c.

3825

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}-3 x_{2} \end {array}\right ] \]

3826

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=-b x_{1}-a x_{2} \end {array}\right ] \]

3827

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{2} \\ x_{2}^{\prime }=-3 x_{1} \end {array}\right ] \]

3828

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+3 x_{2} \\ x_{2}^{\prime }=-2 x_{1}+5 x_{2} \end {array}\right ] \]
i.c.

3829

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

3830

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{2} \\ x_{2}^{\prime }=x_{2}-x_{1} \end {array}\right ] \]

3831

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+3 x_{3} \\ x_{2}^{\prime }=3 x_{1}+x_{2} \\ x_{3}^{\prime }=2 x_{1}-x_{2}+3 x_{3} \end {array}\right ] \]

3832

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {x_{1}}{t} \\ x_{2}^{\prime }=x_{2} \end {array}\right ] \]

3833

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {x_{1}}{t}+t x_{2} \\ x_{2}^{\prime }=-\frac {x_{1}}{t} \end {array}\right ] \]

3834

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+2 x_{2} \end {array}\right ] \]

3835

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}-7 x_{2} \\ x_{2}^{\prime }=-x_{1}+4 x_{2} \end {array}\right ] \]

3836

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{2} \\ x_{2}^{\prime }=4 x_{1} \end {array}\right ] \]

3837

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-2 x_{2} \\ x_{2}^{\prime }=5 x_{1}-5 x_{2} \end {array}\right ] \]

3838

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+2 x_{2} \\ x_{2}^{\prime }=-2 x_{1}-x_{2} \end {array}\right ] \]

3839

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1} \\ x_{2}^{\prime }=5 x_{2}-7 x_{3} \\ x_{3}^{\prime }=2 x_{2}-4 x_{3} \end {array}\right ] \]

3840

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1} \\ x_{2}^{\prime }=x_{1}+5 x_{2}-x_{3} \\ x_{3}^{\prime }=x_{1}+6 x_{2}-2 x_{3} \end {array}\right ] \]

3841

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=-x_{1} \\ x_{3}^{\prime }=5 x_{3} \end {array}\right ] \]

3842

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+3 x_{3} \\ x_{2}^{\prime }=-4 x_{2} \\ x_{3}^{\prime }=-3 x_{1}+2 x_{3} \end {array}\right ] \]

3843

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}+6 x_{3} \\ x_{2}^{\prime }=-2 x_{1}+x_{2}-2 x_{3} \\ x_{3}^{\prime }=-x_{1}-2 x_{2}-4 x_{3} \end {array}\right ] \]

3844

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{2}+x_{3} \\ x_{2}^{\prime }=-2 x_{1}-x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{3} \end {array}\right ] \]

3845

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{3} \\ x_{2}^{\prime }=-3 x_{2}-x_{3} \\ x_{3}^{\prime }=2 x_{2}-x_{3} \end {array}\right ] \]

3846

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}-x_{3} \\ x_{2}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{3}^{\prime }=-x_{1}+x_{2}+x_{3} \end {array}\right ] \]

3847

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+3 x_{3} \\ x_{2}^{\prime }=2 x_{1}-x_{2}+3 x_{3} \\ x_{3}^{\prime }=2 x_{1}-x_{2}+3 x_{3} \end {array}\right ] \]

3848

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2}+3 x_{3}+4 x_{4} \\ x_{2}^{\prime }=4 x_{1}+3 x_{2}+2 x_{3}+x_{4} \\ x_{3}^{\prime }=4 x_{1}+5 x_{2}+6 x_{3}+7 x_{4} \\ x_{4}^{\prime }=7 x_{1}+6 x_{2}+5 x_{3}+4 x_{4} \end {array}\right ] \]

3849

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=-x_{1} \\ x_{3}^{\prime }=-x_{4} \\ x_{4}^{\prime }=x_{3} \end {array}\right ] \]

3850

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+4 x_{2} \\ x_{2}^{\prime }=2 x_{1}-3 x_{2} \end {array}\right ] \]
i.c.

3851

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-6 x_{2} \\ x_{2}^{\prime }=3 x_{1}+5 x_{2} \end {array}\right ] \]
i.c.

3852

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+3 x_{3} \\ x_{2}^{\prime }=3 x_{1}+x_{2} \\ x_{3}^{\prime }=2 x_{1}-x_{2}+3 x_{3} \end {array}\right ] \]
i.c.

3853

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{2} \\ x_{2}^{\prime }=-4 x_{1} \end {array}\right ] \]
i.c.

3854

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=-b x_{1}-a x_{2} \end {array}\right ] \]

3855

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2} \\ x_{2}^{\prime }=-x_{1}+3 x_{2} \end {array}\right ] \]

3856

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+4 x_{2} \end {array}\right ] \]

3857

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

3858

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2} \\ x_{2}^{\prime }=x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2}-x_{3} \end {array}\right ] \]

3859

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+2 x_{2}-x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=2 x_{1}+3 x_{2}-x_{3} \end {array}\right ] \]

3860

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1} \\ x_{2}^{\prime }=x_{1}-3 x_{2}-x_{3} \\ x_{3}^{\prime }=-x_{1}+x_{2}-x_{3} \end {array}\right ] \]

3861

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=15 x_{1}-32 x_{2}+12 x_{3} \\ x_{2}^{\prime }=8 x_{1}-17 x_{2}+6 x_{3} \\ x_{3}^{\prime }=-x_{3} \end {array}\right ] \]

3862

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1} \\ x_{2}^{\prime }=x_{1}+4 x_{2} \\ x_{3}^{\prime }=x_{2}+4 x_{3} \end {array}\right ] \]

3863

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=3 x_{2}+2 x_{3} \\ x_{3}^{\prime }=2 x_{1}-2 x_{2}-x_{3} \end {array}\right ] \]

3864

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{2} \\ x_{2}^{\prime }=-x_{1}+5 x_{2} \\ x_{3}^{\prime }=4 x_{3} \end {array}\right ] \]

3865

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}-x_{1} \\ x_{2}^{\prime }=-2 x_{1}-3 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2}-2 x_{3} \end {array}\right ] \]

3866

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{2} \\ x_{2}^{\prime }=x_{1} \\ x_{3}^{\prime }=x_{1}+2 x_{3}+x_{4} \\ x_{4}^{\prime }=x_{2}+2 x_{4} \end {array}\right ] \]

3867

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+3 x_{2} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2} \\ x_{3}^{\prime }=x_{1}+x_{3}+x_{4} \\ x_{4}^{\prime }=x_{2}+x_{4} \end {array}\right ] \]

3868

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{2} \\ x_{2}^{\prime }=x_{1} \\ x_{3}^{\prime }=x_{1}-x_{4} \\ x_{4}^{\prime }=x_{2}+x_{3} \end {array}\right ] \]

3869

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}-4 x_{2} \end {array}\right ] \]
i.c.

3870

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}-x_{2}+4 x_{3} \\ x_{2}^{\prime }=-x_{2} \\ x_{3}^{\prime }=-x_{1}-3 x_{2}+2 x_{3} \end {array}\right ] \]
i.c.

3871

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-3 x_{2}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }=2 x_{1}-x_{2}+{\mathrm e}^{t} \end {array}\right ] \]

3872

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2} \\ x_{2}^{\prime }=-x_{1}+2 x_{2}+4 \,{\mathrm e}^{t} \end {array}\right ] \]

3873

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+x_{2}+t \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }=3 x_{2}+{\mathrm e}^{3 t} \end {array}\right ] \]

3874

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+x_{2}+20 \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }=3 x_{1}+x_{2}+12 \,{\mathrm e}^{t} \end {array}\right ] \]

3875

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+2 x_{2}+54 t \,{\mathrm e}^{3 t} \\ x_{2}^{\prime }=-2 x_{1}+4 x_{2}+9 \,{\mathrm e}^{3 t} \end {array}\right ] \]

3876

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+4 x_{2}+8 \sin \left (2 t \right ) \\ x_{2}^{\prime }=-2 x_{1}-2 x_{2}+8 \cos \left (2 t \right ) \end {array}\right ] \]

3877

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}-3 \,{\mathrm e}^{t} \\ x_{2}^{\prime }=-2 x_{1}-x_{2}+6 t \,{\mathrm e}^{t} \end {array}\right ] \]

3878

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-{\mathrm e}^{t} \\ x_{2}^{\prime }=2 x_{1}-3 x_{2}+2 x_{3}+6 \,{\mathrm e}^{-t} \\ x_{3}^{\prime }=x_{1}-2 x_{2}+2 x_{3}+{\mathrm e}^{t} \end {array}\right ] \]

3879

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-2 x_{2}+2 x_{3}-{\mathrm e}^{3 t} \\ x_{2}^{\prime }=2 x_{1}+4 x_{2}-x_{3}+4 \,{\mathrm e}^{3 t} \\ x_{3}^{\prime }=3 x_{3}+3 \,{\mathrm e}^{3 t} \end {array}\right ] \]

3880

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-3 x_{2}+34 \sin \left (t \right ) \\ x_{2}^{\prime }=-4 x_{1}-2 x_{2}+17 \cos \left (t \right ) \end {array}\right ] \]

3881

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2} \\ x_{2}^{\prime }=2 x_{2} \end {array}\right ] \]

3882

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{2} \\ x_{2}^{\prime }=-x_{2} \end {array}\right ] \]

3883

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1} \\ x_{2}^{\prime }=3 x_{2}-x_{3} \\ x_{3}^{\prime }=x_{2}+x_{3} \end {array}\right ] \]

3884

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}+x_{2} \end {array}\right ] \]

3885

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2} \\ x_{2}^{\prime }=4 x_{1}-x_{2} \end {array}\right ] \]

3886

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1} \\ x_{2}^{\prime }=x_{2}-8 x_{3} \\ x_{3}^{\prime }=2 x_{2}-7 x_{3} \end {array}\right ] \]

3887

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+3 x_{3} \\ x_{2}^{\prime }=2 x_{1}+3 x_{2}-2 x_{3} \\ x_{3}^{\prime }=2 x_{2}+2 x_{3} \end {array}\right ] \]

3888

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-8 x_{1}+6 x_{2}-3 x_{3} \\ x_{2}^{\prime }=-12 x_{1}+10 x_{2}-3 x_{3} \\ x_{3}^{\prime }=-2 x_{3} \end {array}\right ] \]

3889

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1} \\ x_{2}^{\prime }=6 x_{2}-7 x_{3}+3 x_{4} \\ x_{3}^{\prime }=3 x_{3}-x_{4} \\ x_{4}^{\prime }=-4 x_{2}+9 x_{3}-3 x_{4} \end {array}\right ] \]

3890

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{2} \\ x_{2}^{\prime }=x_{1} \\ x_{3}^{\prime }=x_{2}-x_{4} \\ x_{4}^{\prime }=x_{2}+x_{3} \end {array}\right ] \]

3891

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\left (-1+2 t \right ) x_{1} \\ x_{2}^{\prime }={\mathrm e}^{-t^{2}+t} x_{1}+x_{2} \end {array}\right ] \]

3892

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=t \cot \left (t^{2}\right ) x_{1}+\frac {t \cos \left (t^{2}\right ) x_{3}}{2} \\ x_{2}^{\prime }=\frac {x_{2}}{t}-x_{3}+2-t \sin \left (t \right ) \\ x_{3}^{\prime }=\csc \left (t^{2}\right ) x_{1}+x_{2}-x_{3}+1-t \cos \left (t \right ) \end {array}\right ] \]

3893

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-6 x_{1}+x_{2} \\ x_{2}^{\prime }=6 x_{1}-5 x_{2} \end {array}\right ] \]

3894

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=9 x_{1}-2 x_{2} \\ x_{2}^{\prime }=5 x_{1}-2 x_{2} \end {array}\right ] \]

3895

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=10 x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}+2 x_{2} \end {array}\right ] \]

3896

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-8 x_{1}+5 x_{2} \\ x_{2}^{\prime }=-5 x_{1}+2 x_{2} \end {array}\right ] \]

3897

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+4 x_{3} \\ x_{2}^{\prime }=2 x_{2} \\ x_{3}^{\prime }=-4 x_{1}-5 x_{3} \end {array}\right ] \]

3898

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-x_{2} \\ x_{2}^{\prime }=4 x_{1}-7 x_{2} \\ x_{3}^{\prime }=6 x_{1}+6 x_{2}+4 x_{3} \end {array}\right ] \]

3899

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+13 x_{2} \\ x_{2}^{\prime }=-x_{1}-3 x_{2} \end {array}\right ] \]

3900

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-10 x_{2} \\ x_{2}^{\prime }=5 x_{1}+11 x_{2} \end {array}\right ] \]

3901

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-5 x_{2}+x_{3} \\ x_{2}^{\prime }=4 x_{1}-9 x_{2}-x_{3} \\ x_{3}^{\prime }=3 x_{3} \end {array}\right ] \]

3902

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1} \\ x_{2}^{\prime }=2 x_{1}+5 x_{2}-9 x_{3} \\ x_{3}^{\prime }=5 x_{2}-x_{3} \end {array}\right ] \]

3903

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-2 x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}-4 x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{1}+2 x_{2}-3 x_{3} \end {array}\right ] \]

3904

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-4 x_{2}+3 x_{3} \\ x_{2}^{\prime }=-9 x_{1}-3 x_{2}-9 x_{3} \\ x_{3}^{\prime }=4 x_{1}+4 x_{2}+3 x_{3} \end {array}\right ] \]

3905

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-17 x_{1}-42 x_{3} \\ x_{2}^{\prime }=-7 x_{1}+4 x_{2}-14 x_{3} \\ x_{3}^{\prime }=7 x_{1}+18 x_{3} \end {array}\right ] \]

3906

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-16 x_{1}+30 x_{2}-18 x_{3} \\ x_{2}^{\prime }=-8 x_{1}+8 x_{2}+16 x_{3} \\ x_{3}^{\prime }=8 x_{1}-15 x_{2}+9 x_{3} \end {array}\right ] \]

3907

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-7 x_{1}-6 x_{2}-7 x_{3} \\ x_{2}^{\prime }=-3 x_{1}-3 x_{2}-3 x_{3} \\ x_{3}^{\prime }=7 x_{1}+6 x_{2}+7 x_{3} \end {array}\right ] \]

3908

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2}-2 x_{3} \\ x_{2}^{\prime }=x_{1}+6 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}+6 x_{3} \end {array}\right ] \]

3909

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-4 x_{2}-2 x_{3} \\ x_{2}^{\prime }=-4 x_{1}-5 x_{2}-6 x_{3} \\ x_{3}^{\prime }=4 x_{1}+8 x_{2}+7 x_{3} \end {array}\right ] \]

3910

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=7 x_{1}-2 x_{2}+2 x_{3} \\ x_{2}^{\prime }=4 x_{2}-x_{3} \\ x_{3}^{\prime }=-x_{1}+x_{2}+4 x_{3} \end {array}\right ] \]

3911

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-x_{2}-2 x_{3} \\ x_{2}^{\prime }=x_{1}+x_{3} \\ x_{3}^{\prime }=x_{1} \end {array}\right ] \]

3912

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}-x_{3} \\ x_{2}^{\prime }=-x_{2} \\ x_{3}^{\prime }=x_{1} \end {array}\right ] \]

3913

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+13 x_{2} \\ x_{2}^{\prime }=-x_{1}-2 x_{2} \\ x_{3}^{\prime }=2 x_{3}+4 x_{4} \\ x_{4}^{\prime }=2 x_{4} \end {array}\right ] \]

3914

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=7 x_{1}-x_{4} \\ x_{2}^{\prime }=6 x_{2} \\ x_{3}^{\prime }=-x_{3} \\ x_{4}^{\prime }=2 x_{1}+5 x_{4} \end {array}\right ] \]

3915

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-6 x_{1}+x_{2}+1 \\ x_{2}^{\prime }=6 x_{1}-5 x_{2}+{\mathrm e}^{-t} \end {array}\right ] \]

3916

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=9 x_{1}-2 x_{2}+9 t \\ x_{2}^{\prime }=5 x_{1}-2 x_{2} \end {array}\right ] \]

3917

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=10 x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}+2 x_{2}+\frac {{\mathrm e}^{6 t}}{t} \end {array}\right ] \]

3918

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-4 x_{2}+3 x_{3}+{\mathrm e}^{6 t} \\ x_{2}^{\prime }=-9 x_{1}-3 x_{2}-9 x_{3}+1 \\ x_{3}^{\prime }=4 x_{1}+4 x_{2}+3 x_{3} \end {array}\right ] \]

3919

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-2 x_{2}+x_{3}+t \\ x_{2}^{\prime }=x_{1}-4 x_{2}+x_{3} \\ x_{3}^{\prime }=2 x_{1}+2 x_{2}-3 x_{3}+1 \end {array}\right ] \]

3920

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+4 x_{2} \\ x_{2}^{\prime }=8 x_{1}+x_{2} \end {array}\right ] \]

3921

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-6 x_{2} \\ x_{2}^{\prime }=x_{1}-5 x_{2} \end {array}\right ] \]

3922

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}+9 x_{2} \\ x_{2}^{\prime }=-2 x_{1}-x_{2} \end {array}\right ] \]

3923

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1} \\ x_{2}^{\prime }=-4 x_{2} \end {array}\right ] \]

3924

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=7 x_{1}-2 x_{2} \\ x_{2}^{\prime }=x_{1}+4 x_{2} \end {array}\right ] \]

3925

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}-7 x_{2} \end {array}\right ] \]

3926

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}-4 x_{2} \end {array}\right ] \]

3927

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=10 x_{1}-8 x_{2} \\ x_{2}^{\prime }=2 x_{1}+2 x_{2} \end {array}\right ] \]

4166

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2} \\ y_{2}^{\prime }=3 y_{2}-2 y_{1} \end {array}\right ] \]

4167

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+y_{2} \\ y_{2}^{\prime }=3 y_{2}-y_{1} \end {array}\right ] \]

4168

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}-y_{2} \\ y_{2}^{\prime }=2 y_{1}+3 y_{2} \end {array}\right ] \]

4169

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{2} \\ y_{2}^{\prime }=4 y_{2}-y_{1} \end {array}\right ] \]

4170

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+y_{2} \\ y_{2}^{\prime }=y_{1}-y_{2} \end {array}\right ] \]

4171

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2} \\ y_{2}^{\prime }=y_{1} \end {array}\right ] \]

4172

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2}-y_{1} \\ y_{2}^{\prime }=3 y_{1}-4 y_{2} \end {array}\right ] \]

4173

\[ {}\left [\begin {array}{c} 2 y_{1}^{\prime }=y_{1}+y_{2} \\ 2 y_{2}^{\prime }=5 y_{2}-3 y_{1} \end {array}\right ] \]
i.c.

4174

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-2 y_{2} \\ y_{2}^{\prime }=y_{1}+2 y_{2} \end {array}\right ] \]
i.c.

4175

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=1 \\ y_{2}^{\prime }=2 y_{1} \end {array}\right ] \]

4176

\[ {}\left [\begin {array}{c} 2 y_{1}^{\prime }+y_{2}^{\prime }-4 y_{1}-y_{2}={\mathrm e}^{x} \\ y_{1}^{\prime }+3 y_{1}+y_{2}=0 \end {array}\right ] \]

4177

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2} \\ y_{2}^{\prime }=-y_{1}+y_{3} \\ y_{3}^{\prime }=-y_{2} \end {array}\right ] \]

4533

\[ {}\left [\begin {array}{c} x^{\prime }+2 x-y=0 \\ x+y^{\prime }-2 y=0 \end {array}\right ] \]

4534

\[ {}\left [\begin {array}{c} 2 x^{\prime }+x-5 y^{\prime }-4 y=0 \\ -y^{\prime }-2 x+y=0 \end {array}\right ] \]

4535

\[ {}\left [\begin {array}{c} x^{\prime }-x+3 y=0 \\ 3 x-y^{\prime }+y=0 \end {array}\right ] \]

4536

\[ {}\left [\begin {array}{c} x^{\prime \prime }+x^{\prime }+y^{\prime }-2 y=0 \\ x^{\prime }+x-y^{\prime }=0 \end {array}\right ] \]

4537

\[ {}\left [\begin {array}{c} x^{\prime \prime }-3 x-4 y=0 \\ x+y^{\prime \prime }+y=0 \end {array}\right ] \]

4538

\[ {}\left [\begin {array}{c} y_{1}^{\prime }-y_{2}=0 \\ 4 y_{1}+y_{2}^{\prime }-4 y_{2}-2 y_{3}=0 \\ -2 y_{1}+y_{2}+y_{3}^{\prime }+y_{3}=0 \end {array}\right ] \]

4539

\[ {}\left [\begin {array}{c} y_{1}^{\prime }-2 y_{1}+3 y_{2}-3 y_{3}=0 \\ -4 y_{1}+y_{2}^{\prime }+5 y_{2}-3 y_{3}=0 \\ -4 y_{1}+4 y_{2}+y_{3}^{\prime }-2 y_{3}=0 \end {array}\right ] \]

4540

\[ {}\left [\begin {array}{c} x^{\prime }+x+2 y=8 \\ 2 x+y^{\prime }-2 y=2 \,{\mathrm e}^{-t}-8 \end {array}\right ] \]

4541

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-3 y+t \,{\mathrm e}^{-t} \\ y^{\prime }=2 x-3 y+{\mathrm e}^{-t} \end {array}\right ] \]

4542

\[ {}\left [\begin {array}{c} x^{\prime }-x-2 y={\mathrm e}^{t} \\ -4 x+y^{\prime }-3 y=1 \end {array}\right ] \]

4543

\[ {}\left [\begin {array}{c} x^{\prime }-4 x+3 y=\sin \left (t \right ) \\ -2 x+y^{\prime }+y=-2 \cos \left (t \right ) \end {array}\right ] \]

4544

\[ {}\left [\begin {array}{c} x^{\prime }-y=0 \\ -x+y^{\prime }={\mathrm e}^{t}+{\mathrm e}^{-t} \end {array}\right ] \]

4545

\[ {}\left [\begin {array}{c} x^{\prime }+2 x+5 y=0 \\ -x+y^{\prime }-2 y=\sin \left (2 t \right ) \end {array}\right ] \]

4546

\[ {}\left [\begin {array}{c} x^{\prime }-2 x+2 y^{\prime }=-4 \,{\mathrm e}^{2 t} \\ 2 x^{\prime }-3 x+3 y^{\prime }-y=0 \end {array}\right ] \]

4547

\[ {}\left [\begin {array}{c} 3 x^{\prime }+2 x+y^{\prime }-6 y=5 \,{\mathrm e}^{t} \\ 4 x^{\prime }+2 x+y^{\prime }-8 y=5 \,{\mathrm e}^{t}+2 t -3 \end {array}\right ] \]

4548

\[ {}\left [\begin {array}{c} x^{\prime }-5 x+3 y=2 \,{\mathrm e}^{3 t} \\ -x+y^{\prime }-y=5 \,{\mathrm e}^{-t} \end {array}\right ] \]

4549

\[ {}\left [\begin {array}{c} x^{\prime }-2 x+y=0 \\ x+y^{\prime }-2 y=-5 \,{\mathrm e}^{t} \sin \left (t \right ) \end {array}\right ] \]

4550

\[ {}\left [\begin {array}{c} x^{\prime }+4 x+2 y=\frac {2}{{\mathrm e}^{t}-1} \\ 6 x-y^{\prime }+3 y=\frac {3}{{\mathrm e}^{t}-1} \end {array}\right ] \]

4551

\[ {}\left [\begin {array}{c} x^{\prime }-x+y=\sec \left (t \right ) \\ -2 x+y^{\prime }+y=0 \end {array}\right ] \]

4552

\[ {}\left [\begin {array}{c} x^{\prime }-x-2 y=16 t \,{\mathrm e}^{t} \\ 2 x-y^{\prime }-2 y=0 \end {array}\right ] \]
i.c.

4553

\[ {}\left [\begin {array}{c} x^{\prime }-2 x+y=5 \,{\mathrm e}^{t} \cos \left (t \right ) \\ x+y^{\prime }-2 y=10 \,{\mathrm e}^{t} \sin \left (t \right ) \end {array}\right ] \]
i.c.

4554

\[ {}\left [\begin {array}{c} x^{\prime }-4 x+3 y=\sin \left (t \right ) \\ 2 x+y^{\prime }-y=2 \cos \left (t \right ) \end {array}\right ] \]
i.c.

4555

\[ {}\left [\begin {array}{c} x^{\prime }-2 x-y=2 \,{\mathrm e}^{t} \\ x-y^{\prime }+2 y=3 \,{\mathrm e}^{4 t} \end {array}\right ] \]
i.c.

4556

\[ {}\left [\begin {array}{c} x^{\prime \prime }+x^{\prime }+y^{\prime }-2 y=40 \,{\mathrm e}^{3 t} \\ x^{\prime }+x-y^{\prime }=36 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

4557

\[ {}\left [\begin {array}{c} x^{\prime }-2 x-y=2 \,{\mathrm e}^{t} \\ y^{\prime }-2 y-4 z=4 \,{\mathrm e}^{2 t} \\ x-z^{\prime }-z=0 \end {array}\right ] \]
i.c.

4558

\[ {}\left [\begin {array}{c} x^{\prime \prime }+2 x-2 y^{\prime }=0 \\ 3 x^{\prime }+y^{\prime \prime }-8 y=240 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

4559

\[ {}\left [\begin {array}{c} x^{\prime }-x-2 y=0 \\ x-y^{\prime }=15 \cos \left (t \right ) \operatorname {Heaviside}\left (t -\pi \right ) \end {array}\right ] \]
i.c.

4560

\[ {}\left [\begin {array}{c} x^{\prime }-x+y=2 \sin \left (t \right ) \left (1-\operatorname {Heaviside}\left (t -\pi \right )\right ) \\ 2 x-y^{\prime }-y=0 \end {array}\right ] \]
i.c.

4561

\[ {}\left [\begin {array}{c} 2 x^{\prime }+x-5 y^{\prime }-4 y=28 \,{\mathrm e}^{t} \operatorname {Heaviside}\left (t -2\right ) \\ 3 x^{\prime }-2 x-4 y^{\prime }+y=0 \end {array}\right ] \]
i.c.

4562

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2} \\ x_{2}^{\prime }=-4 x_{1}+x_{2} \end {array}\right ] \]

4563

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-3 x_{2} \\ x_{2}^{\prime }=3 x_{1}+x_{2} \end {array}\right ] \]

4564

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}+3 x_{2} \\ x_{2}^{\prime }=-3 x_{1}-x_{2} \end {array}\right ] \]
i.c.

4565

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+2 x_{2}-x_{3} \\ x_{3}^{\prime }=x_{1}-x_{2}+2 x_{3} \end {array}\right ] \]

4566

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{3}^{\prime }=4 x_{1}-x_{2}+4 x_{3} \end {array}\right ] \]

4567

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2} \\ x_{2}^{\prime }=x_{1}+3 x_{2}-x_{3} \\ x_{3}^{\prime }=-x_{1}+2 x_{2}+3 x_{3} \end {array}\right ] \]

4568

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2}-x_{3} \\ x_{2}^{\prime }=3 x_{1}-4 x_{2}-3 x_{3} \\ x_{3}^{\prime }=2 x_{1}-4 x_{2} \end {array}\right ] \]

4569

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-2 x_{2}+2 x_{3} \end {array}\right ] \]
i.c.

4570

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+x_{2}-2 x_{3} \\ x_{2}^{\prime }=4 x_{1}+x_{2} \\ x_{3}^{\prime }=2 x_{1}+x_{2}-x_{3} \end {array}\right ] \]

4571

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}+26 \sin \left (t \right ) \\ x_{2}^{\prime }=3 x_{1}+4 x_{2} \end {array}\right ] \]

4572

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+8 x_{2}+9 t \\ x_{2}^{\prime }=x_{1}+x_{2}+3 \,{\mathrm e}^{-t} \end {array}\right ] \]

4573

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+2 x_{2} \\ x_{2}^{\prime }=-3 x_{1}+4 x_{2}+\frac {{\mathrm e}^{3 t}}{1+{\mathrm e}^{2 t}} \end {array}\right ] \]

4574

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}-2 x_{2}+\frac {2}{{\mathrm e}^{t}-1} \\ x_{2}^{\prime }=6 x_{1}+3 x_{2}-\frac {3}{{\mathrm e}^{t}-1} \end {array}\right ] \]

4575

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+{\mathrm e}^{2 t} \\ x_{2}^{\prime }=-2 x_{1}+3 x_{2} \end {array}\right ] \]

4576

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}+x_{2}+\frac {4}{\sin \left (2 t \right )} \end {array}\right ] \]

4577

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}+27 t \\ x_{2}^{\prime }=-x_{1}+4 x_{2} \end {array}\right ] \]

4578

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=4 x_{1}-x_{2} \end {array}\right ] \]

4579

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}-x_{2}+35 \,{\mathrm e}^{t} t^{{3}/{2}} \end {array}\right ] \]

4580

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+x_{2}-x_{3}+6 \,{\mathrm e}^{-t} \\ x_{3}^{\prime }=2 x_{1}-x_{2} \end {array}\right ] \]

4581

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-2 x_{2}-x_{3} \\ x_{2}^{\prime }=-x_{1}+x_{2}+x_{3}+12 t \\ x_{3}^{\prime }=x_{1}-x_{3} \end {array}\right ] \]

4582

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+4 x_{2}-2 x_{3}+{\mathrm e}^{t} \\ x_{2}^{\prime }=x_{1}+x_{2} \\ x_{3}^{\prime }=6 x_{1}-6 x_{2}+5 x_{3} \end {array}\right ] \]

4583

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}-x_{3}+4 \,{\mathrm e}^{t} \\ x_{2}^{\prime }=x_{1}+x_{2} \\ x_{3}^{\prime }=3 x_{1}+x_{3} \end {array}\right ] \]

4584

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+2 x_{3} \\ x_{2}^{\prime }=x_{1}+2 x_{3} \\ x_{3}^{\prime }=-2 x_{1}+x_{2}-x_{3}+4 \sin \left (t \right ) \end {array}\right ] \]

4585

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-x_{2}-x_{3}+{\mathrm e}^{3 t} \\ x_{2}^{\prime }=x_{1}+2 x_{2}-x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2}+2 x_{3} \end {array}\right ] \]

4586

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}-x_{3}+2 \,{\mathrm e}^{2 t} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2}-3 x_{3} \\ x_{3}^{\prime }=-x_{1}+x_{2}+2 x_{3} \end {array}\right ] \]

4587

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{3}+24 t \\ x_{2}^{\prime }=x_{1}-x_{2} \\ x_{3}^{\prime }=3 x_{1}-x_{2}-x_{3} \end {array}\right ] \]

6787

\[ {}\left [\begin {array}{c} x^{\prime }-y^{\prime }+y=-{\mathrm e}^{t} \\ x+y^{\prime }-y={\mathrm e}^{2 t} \end {array}\right ] \]

6788

\[ {}\left [\begin {array}{c} x^{\prime }+2 x+y^{\prime }+y=t \\ 5 x+y^{\prime }+3 y=t^{2} \end {array}\right ] \]

6789

\[ {}\left [\begin {array}{c} x^{\prime }+x+2 y^{\prime }+7 y={\mathrm e}^{t}+2 \\ -2 x+y^{\prime }+3 y={\mathrm e}^{t}-1 \end {array}\right ] \]

6790

\[ {}\left [\begin {array}{c} x^{\prime }-x+y^{\prime }+3 y={\mathrm e}^{-t}-1 \\ x^{\prime }+2 x+y^{\prime }+3 y=1+{\mathrm e}^{2 t} \end {array}\right ] \]

6791

\[ {}\left [\begin {array}{c} x^{\prime }-x+y^{\prime }+2 y=1+{\mathrm e}^{t} \\ y^{\prime }+2 y+z^{\prime }+z={\mathrm e}^{t}+2 \\ x^{\prime }-x+z^{\prime }+z=3+{\mathrm e}^{t} \end {array}\right ] \]

6922

\[ {}\left [\begin {array}{c} x^{\prime }=x+3 y \\ y^{\prime }=5 x+3 y \end {array}\right ] \]

6923

\[ {}\left [\begin {array}{c} x^{\prime \prime }=4 y+{\mathrm e}^{t} \\ y^{\prime \prime }=4 x-{\mathrm e}^{t} \end {array}\right ] \]

7198

\[ {}\left [\begin {array}{c} x^{\prime }=-\lambda _{1} x \\ y^{\prime }=\lambda _{1} x-\lambda _{2} y \end {array}\right ] \]

7566

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-18 x_{2} \\ x_{2}^{\prime }=2 x_{1}-9 x_{2} \end {array}\right ] \]
i.c.

7567

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+3 x_{2} \\ x_{2}^{\prime }=5 x_{1}+3 x_{2} \end {array}\right ] \]

7568

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+3 x_{2} \\ x_{2}^{\prime }=-3 x_{1}+5 x_{2} \end {array}\right ] \]
i.c.

7569

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}+2 x_{2} \end {array}\right ] \]

7570

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

7571

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+x_{2}+2 \,{\mathrm e}^{-t} \\ x_{2}^{\prime }=x_{1}-2 x_{2}+3 t \end {array}\right ] \]

7572

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2} \\ x_{2}^{\prime }=16 x_{1}-5 x_{2} \end {array}\right ] \]
i.c.

7573

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-2 x_{2} \\ x_{2}^{\prime }=3 x_{1}-4 x_{2} \end {array}\right ] \]
i.c.

7574

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-18 x_{2} \\ x_{2}^{\prime }=2 x_{1}-9 x_{2} \end {array}\right ] \]
i.c.

7575

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+3 x_{2} \\ x_{2}^{\prime }=-3 x_{1}+5 x_{2} \end {array}\right ] \]
i.c.

7576

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-18 x_{2} \\ x_{2}^{\prime }=2 x_{1}-9 x_{2} \end {array}\right ] \]
i.c.

7577

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-x_{2} \\ x_{2}^{\prime }=4 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

7578

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}-8 \\ x_{2}^{\prime }=x_{1}+x_{2}+3 \end {array}\right ] \]

7579

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}-8 \\ x_{2}^{\prime }=x_{1}+x_{2}+3 \end {array}\right ] \]
i.c.

7769

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1} \\ y_{2}^{\prime }=y_{1}+y_{2} \end {array}\right ] \]
i.c.

7770

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2} \\ y_{2}^{\prime }=6 y_{1}+y_{2} \end {array}\right ] \]
i.c.

7771

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+y_{2} \\ y_{2}^{\prime }=y_{1}+y_{2}+{\mathrm e}^{3 x} \end {array}\right ] \]
i.c.

7772

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}+x y_{3} \\ y_{2}^{\prime }=y_{2}+x^{3} y_{3} \\ y_{3}^{\prime }=2 x y_{1}-y_{2}+{\mathrm e}^{x} y_{3} \end {array}\right ] \]

8182

\[ {}\left [\begin {array}{c} x^{\prime }=x+3 y \\ y^{\prime }=3 x+y \end {array}\right ] \]

8183

\[ {}\left [\begin {array}{c} x^{\prime }=x+3 y \\ y^{\prime }=3 x+y \end {array}\right ] \]
i.c.

8184

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=3 x+2 y \end {array}\right ] \]

8185

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y+t -1 \\ y^{\prime }=3 x+2 y-5 t -2 \end {array}\right ] \]

8186

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=y \end {array}\right ] \]

8187

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=y \end {array}\right ] \]

8188

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+4 y \\ y^{\prime }=-2 x+3 y \end {array}\right ] \]

8189

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=5 x+2 y \end {array}\right ] \]

8190

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+4 y \\ y^{\prime }=y-x \end {array}\right ] \]

8191

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-3 y \\ y^{\prime }=8 x-6 y \end {array}\right ] \]

8192

\[ {}\left [\begin {array}{c} x^{\prime }=2 x \\ y^{\prime }=3 y \end {array}\right ] \]

8193

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x-y \\ y^{\prime }=x-2 y \end {array}\right ] \]

8194

\[ {}\left [\begin {array}{c} x^{\prime }=7 x+6 y \\ y^{\prime }=2 x+6 y \end {array}\right ] \]

8195

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=4 x+5 y \end {array}\right ] \]

8196

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-5 t +2 \\ y^{\prime }=4 x-2 y-8 t -8 \end {array}\right ] \]

8197

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-4 y \\ y^{\prime }=4 x-7 y \end {array}\right ] \]

8198

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=4 x+y \end {array}\right ] \]

8199

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+\sqrt {2}\, y \\ y^{\prime }=\sqrt {2}\, x-2 y \end {array}\right ] \]

8200

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+3 y \\ y^{\prime }=-6 x-4 y \end {array}\right ] \]

8201

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+2 y \\ y^{\prime }=-2 x-y \end {array}\right ] \]

8202

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=y-x \end {array}\right ] \]

8203

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-5 y \\ y^{\prime }=-x+2 y \end {array}\right ] \]

8204

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=-4 x+y \end {array}\right ] \]

8205

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+2 y+z \\ y^{\prime }=-2 x-y+3 z \\ z^{\prime }=x+y+z \end {array}\right ] \]

8206

\[ {}\left [\begin {array}{c} x^{\prime }=-x+y-z \\ y^{\prime }=2 x-y-4 z \\ z^{\prime }=3 x-y+z \end {array}\right ] \]

8207

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y-4 t +1 \\ y^{\prime }=-x+2 y+3 t +4 \end {array}\right ] \]

8208

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y-t +3 \\ y^{\prime }=x+4 y+t -2 \end {array}\right ] \]

8209

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+y-t +3 \\ y^{\prime }=-x-5 y+t +1 \end {array}\right ] \]

8210

\[ {}\left [\begin {array}{c} x^{\prime }=x y+1 \\ y^{\prime }=y-x \end {array}\right ] \]
i.c.

8211

\[ {}\left [\begin {array}{c} x^{\prime }=t y+1 \\ y^{\prime }=-t x+y \end {array}\right ] \]
i.c.

8379

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-5 y \\ y^{\prime }=4 x+8 y \end {array}\right ] \]

8380

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-7 y \\ y^{\prime }=5 x \end {array}\right ] \]

8381

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+4 y-9 z \\ y^{\prime }=6 x-y \\ z^{\prime }=10 x+4 y+3 z \end {array}\right ] \]

8382

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=x+2 z \\ z^{\prime }=z-x \end {array}\right ] \]

8383

\[ {}\left [\begin {array}{c} x^{\prime }=x-y+z+t -1 \\ y^{\prime }=2 x+y-z-3 t^{2} \\ z^{\prime }=x+y+z+t^{2}-t +2 \end {array}\right ] \]

8384

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+4 y+{\mathrm e}^{-t} \sin \left (2 t \right ) \\ y^{\prime }=5 x+9 z+4 \,{\mathrm e}^{-t} \cos \left (2 t \right ) \\ z^{\prime }=y+6 z-{\mathrm e}^{-t} \end {array}\right ] \]

8385

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+2 y+{\mathrm e}^{t} \\ y^{\prime }=-x+3 y-{\mathrm e}^{t} \end {array}\right ] \]

8386

\[ {}\left [\begin {array}{c} x^{\prime }=7 x+5 y-9 z-8 \,{\mathrm e}^{-2 t} \\ y^{\prime }=4 x+y+z+2 \,{\mathrm e}^{5 t} \\ z^{\prime }=-2 y+3 z+{\mathrm e}^{5 t}-3 \,{\mathrm e}^{-2 t} \end {array}\right ] \]

8387

\[ {}\left [\begin {array}{c} x^{\prime }=x-y+2 z+{\mathrm e}^{-t}-3 t \\ y^{\prime }=3 x-4 y+z+2 \,{\mathrm e}^{-t}+t \\ z^{\prime }=-2 x+5 y+6 z+2 \,{\mathrm e}^{-t}-t \end {array}\right ] \]

8388

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-7 y+4 \sin \left (t \right )+\left (-4+t \right ) {\mathrm e}^{4 t} \\ y^{\prime }=x+y+8 \sin \left (t \right )+\left (2 t +1\right ) {\mathrm e}^{4 t} \end {array}\right ] \]

8389

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-4 y \\ y^{\prime }=4 x-7 y \end {array}\right ] \]

8390

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+5 y \\ y^{\prime }=-2 x+4 y \end {array}\right ] \]

8391

\[ {}\left [\begin {array}{c} x^{\prime }=-x+\frac {y}{4} \\ y^{\prime }=x-y \end {array}\right ] \]

8392

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=-x \end {array}\right ] \]

8393

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y+z \\ y^{\prime }=6 x-y \\ z^{\prime }=-x-2 y-z \end {array}\right ] \]

8394

\[ {}\left [\begin {array}{c} x^{\prime }=x+z \\ y^{\prime }=x+y \\ z^{\prime }=-2 x-z \end {array}\right ] \]

8395

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=4 x+3 y \end {array}\right ] \]

8396

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+2 y \\ y^{\prime }=x+3 y \end {array}\right ] \]

8397

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+2 y \\ y^{\prime }=-\frac {5 x}{2}+2 y \end {array}\right ] \]

8398

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {5 x}{2}+2 y \\ y^{\prime }=\frac {3 x}{4}-2 y \end {array}\right ] \]

8399

\[ {}\left [\begin {array}{c} x^{\prime }=10 x-5 y \\ y^{\prime }=8 x-12 y \end {array}\right ] \]

8400

\[ {}\left [\begin {array}{c} x^{\prime }=-6 x+2 y \\ y^{\prime }=-3 x+y \end {array}\right ] \]

8401

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-z \\ y^{\prime }=2 y \\ z^{\prime }=y-z \end {array}\right ] \]

8402

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-7 y \\ y^{\prime }=5 x+10 y+4 z \\ z^{\prime }=5 y+2 z \end {array}\right ] \]

8403

\[ {}\left [\begin {array}{c} x^{\prime }=y-x \\ y^{\prime }=x+2 y+z \\ z^{\prime }=3 y-z \end {array}\right ] \]

8404

\[ {}\left [\begin {array}{c} x^{\prime }=x+z \\ y^{\prime }=y \\ z^{\prime }=x+z \end {array}\right ] \]

8405

\[ {}\left [\begin {array}{c} x^{\prime }=-x-y \\ y^{\prime }=\frac {3 x}{4}-\frac {3 y}{2}+3 z \\ z^{\prime }=\frac {x}{8}+\frac {y}{4}-\frac {z}{2} \end {array}\right ] \]

8406

\[ {}\left [\begin {array}{c} x^{\prime }=-x-y \\ y^{\prime }=\frac {3 x}{4}-\frac {3 y}{2}+3 z \\ z^{\prime }=\frac {x}{8}+\frac {y}{4}-\frac {z}{2} \end {array}\right ] \]

8407

\[ {}\left [\begin {array}{c} x^{\prime }=-x+4 y+2 z \\ y^{\prime }=4 x-y-2 z \\ z^{\prime }=6 z \end {array}\right ] \]

8408

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {x}{2} \\ y^{\prime }=x-\frac {y}{2} \end {array}\right ] \]
i.c.

8409

\[ {}\left [\begin {array}{c} x^{\prime }=x+y+4 z \\ y^{\prime }=2 y \\ z^{\prime }=x+y+z \end {array}\right ] \]
i.c.

8410

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {9 x}{10}+\frac {21 y}{10}+\frac {16 z}{5} \\ y^{\prime }=\frac {7 x}{10}+\frac {13 y}{2}+\frac {21 z}{5} \\ z^{\prime }=\frac {11 x}{10}+\frac {17 y}{10}+\frac {17 z}{5} \end {array}\right ] \]

8411

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+2 x_{3}-\frac {9 x_{4}}{5} \\ x_{2}^{\prime }=\frac {51 x_{2}}{10}-x_{4}+3 x_{5} \\ x_{3}^{\prime }=x_{1}+2 x_{2}-3 x_{3} \\ x_{4}^{\prime }=x_{2}-\frac {31 x_{3}}{10}+4 x_{4} \\ x_{5}^{\prime }=-\frac {14 x_{1}}{5}+\frac {3 x_{4}}{2}-x_{5} \end {array}\right ] \]

8412

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-y \\ y^{\prime }=9 x-3 y \end {array}\right ] \]

8413

\[ {}\left [\begin {array}{c} x^{\prime }=-6 x+5 y \\ y^{\prime }=-5 x+4 y \end {array}\right ] \]

8414

\[ {}\left [\begin {array}{c} x^{\prime }=-x+3 y \\ y^{\prime }=-3 x+5 y \end {array}\right ] \]

8415

\[ {}\left [\begin {array}{c} x^{\prime }=12 x-9 y \\ y^{\prime }=4 x \end {array}\right ] \]

8416

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-y-z \\ y^{\prime }=x+y-z \\ z^{\prime }=x-y+z \end {array}\right ] \]

8417

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+2 y+4 z \\ y^{\prime }=2 x+2 z \\ z^{\prime }=4 x+2 y+3 z \end {array}\right ] \]

8418

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-4 y \\ y^{\prime }=x+2 z \\ z^{\prime }=2 y+5 z \end {array}\right ] \]

8419

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=3 y+z \\ z^{\prime }=z-y \end {array}\right ] \]

8420

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=2 x+2 y-z \\ z^{\prime }=y \end {array}\right ] \]

8421

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+y \\ y^{\prime }=4 y+z \\ z^{\prime }=4 z \end {array}\right ] \]

8422

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+4 y \\ y^{\prime }=-x+6 y \end {array}\right ] \]
i.c.

8423

\[ {}\left [\begin {array}{c} x^{\prime }=z \\ y^{\prime }=y \\ z^{\prime }=x \end {array}\right ] \]
i.c.

8424

\[ {}\left [\begin {array}{c} x^{\prime }=6 x-y \\ y^{\prime }=5 x+2 y \end {array}\right ] \]

8425

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=-2 x-y \end {array}\right ] \]

8426

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+y \\ y^{\prime }=-2 x+3 y \end {array}\right ] \]

8427

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+5 y \\ y^{\prime }=-2 x+6 y \end {array}\right ] \]

8428

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-5 y \\ y^{\prime }=5 x-4 y \end {array}\right ] \]

8429

\[ {}\left [\begin {array}{c} x^{\prime }=x-8 y \\ y^{\prime }=x-3 y \end {array}\right ] \]

8430

\[ {}\left [\begin {array}{c} x^{\prime }=z \\ y^{\prime }=-z \\ z^{\prime }=y \end {array}\right ] \]

8431

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y+2 z \\ y^{\prime }=3 x+6 z \\ z^{\prime }=-4 x-3 z \end {array}\right ] \]

8432

\[ {}\left [\begin {array}{c} x^{\prime }=x-12 y-14 z \\ y^{\prime }=x+2 y-3 z \\ z^{\prime }=x+y-2 z \end {array}\right ] \]
i.c.

8433

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+3 y-7 \\ y^{\prime }=-x-2 y+5 \end {array}\right ] \]

8434

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+9 y+2 \\ y^{\prime }=-x+11 y+6 \end {array}\right ] \]

8709

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+3 y \\ y^{\prime }=-2 x+5 y \end {array}\right ] \]
i.c.

8710

\[ {}\left [\begin {array}{c} x^{\prime }=-x+4 y \\ y^{\prime }=2 x-3 y \end {array}\right ] \]
i.c.

8711

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=-x+2 y+4 \,{\mathrm e}^{t} \end {array}\right ] \]

8712

\[ {}\left [\begin {array}{c} x^{\prime }=6 x-7 y+10 \\ y^{\prime }=x-2 y-2 \,{\mathrm e}^{t} \end {array}\right ] \]

8783

\[ {}\left [\begin {array}{c} x^{\prime }=9 x+4 y \\ y^{\prime }=-6 x-y \\ z^{\prime }=6 x+4 y+3 z \end {array}\right ] \]

8784

\[ {}\left [\begin {array}{c} x^{\prime }=x-3 y \\ y^{\prime }=3 x+7 y \end {array}\right ] \]

8785

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=2 x+5 y \end {array}\right ] \]

8786

\[ {}\left [\begin {array}{c} x^{\prime }=7 x+y \\ y^{\prime }=-4 x+3 y \end {array}\right ] \]

8787

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=y \\ z^{\prime }=z \end {array}\right ] \]

8788

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y-z \\ y^{\prime }=-x+2 z \\ z^{\prime }=-x-2 y+4 z \end {array}\right ] \]

8959

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y+2 t +1 \\ y^{\prime }=5 x+y+3 t -1 \end {array}\right ] \]

9055

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x=y+t \\ x^{\prime }+y^{\prime }=2 x+3 y+{\mathrm e}^{t} \end {array}\right ] \]

9056

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }-x=y+t \\ x^{\prime }+y^{\prime }=2 x+3 y+{\mathrm e}^{t} \end {array}\right ] \]

9057

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x=y+t +\sin \left (t \right )+\cos \left (t \right ) \\ x^{\prime }+y^{\prime }=2 x+3 y+{\mathrm e}^{t} \end {array}\right ] \]

9172

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+y \\ y^{\prime }=y-x \end {array}\right ] \]

11780

\[ {}\left [\begin {array}{c} x^{\prime }=a x \\ y^{\prime }=b \end {array}\right ] \]

11781

\[ {}\left [\begin {array}{c} x^{\prime }=a y \\ y^{\prime }=-a x \end {array}\right ] \]

11782

\[ {}\left [\begin {array}{c} x^{\prime }=a y \\ y^{\prime }=b x \end {array}\right ] \]

11783

\[ {}\left [\begin {array}{c} x^{\prime }=a x-y \\ y^{\prime }=x+a y \end {array}\right ] \]

11784

\[ {}\left [\begin {array}{c} x^{\prime }=a x+b y \\ y^{\prime }=c x+b y \end {array}\right ] \]

11785

\[ {}\left [\begin {array}{c} a x^{\prime }+b y^{\prime }=\alpha x+\beta y \\ b x^{\prime }-a y^{\prime }=\beta x-\alpha y \end {array}\right ] \]

11786

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=2 x+2 y \end {array}\right ] \]

11787

\[ {}\left [\begin {array}{c} x^{\prime }+3 x+4 y=0 \\ y^{\prime }+2 x+5 y=0 \end {array}\right ] \]

11788

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x-2 y \\ y^{\prime }=x-7 y \end {array}\right ] \]

11789

\[ {}\left [\begin {array}{c} x^{\prime }=a_{1} x+b_{1} y+c_{1} \\ y^{\prime }=a_{2} x+b_{2} y+c_{2} \end {array}\right ] \]

11790

\[ {}\left [\begin {array}{c} x^{\prime }+2 y=3 t \\ y^{\prime }-2 x=4 \end {array}\right ] \]

11791

\[ {}\left [\begin {array}{c} x^{\prime }+y-t^{2}+6 t +1=0 \\ -x+y^{\prime }=-3 t^{2}+3 t +1 \end {array}\right ] \]

11792

\[ {}\left [\begin {array}{c} x^{\prime }+3 x-y={\mathrm e}^{2 t} \\ y^{\prime }+x+5 y={\mathrm e}^{t} \end {array}\right ] \]

11793

\[ {}\left [\begin {array}{c} x^{\prime }+2 x+y^{\prime }+y={\mathrm e}^{2 t}+t \\ x^{\prime }-x+y^{\prime }+3 y={\mathrm e}^{t}-1 \end {array}\right ] \]

11794

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-y={\mathrm e}^{t} \\ 2 x^{\prime }+y^{\prime }+2 y=\cos \left (t \right ) \end {array}\right ] \]

11795

\[ {}\left [\begin {array}{c} 4 x^{\prime }+9 y^{\prime }+2 x+31 y={\mathrm e}^{t} \\ 3 x^{\prime }+7 y^{\prime }+x+24 y=3 \end {array}\right ] \]

11796

\[ {}\left [\begin {array}{c} 4 x^{\prime }+9 y^{\prime }+11 x+31 y={\mathrm e}^{t} \\ 3 x^{\prime }+7 y^{\prime }+8 x+24 y={\mathrm e}^{2 t} \end {array}\right ] \]

11797

\[ {}\left [\begin {array}{c} 4 x^{\prime }+9 y^{\prime }+44 x+49 y=t \\ 3 x^{\prime }+7 y^{\prime }+34 x+38 y={\mathrm e}^{t} \end {array}\right ] \]

11798

\[ {}\left [\begin {array}{c} x^{\prime }=x f \left (t \right )+y g \left (t \right ) \\ y^{\prime }=-x g \left (t \right )+y f \left (t \right ) \end {array}\right ] \]

11799

\[ {}\left [\begin {array}{c} x^{\prime }+\left (a x+b y\right ) f \left (t \right )=g \left (t \right ) \\ y^{\prime }+\left (c x+d y\right ) f \left (t \right )=h \left (t \right ) \end {array}\right ] \]

11800

\[ {}\left [\begin {array}{c} x^{\prime }=x \cos \left (t \right ) \\ y^{\prime }=x \,{\mathrm e}^{-\sin \left (t \right )} \end {array}\right ] \]

11801

\[ {}\left [\begin {array}{c} t x^{\prime }+y=0 \\ t y^{\prime }+x=0 \end {array}\right ] \]

11802

\[ {}\left [\begin {array}{c} t x^{\prime }+2 x=t \\ t y^{\prime }-\left (t +2\right ) x-t y=-t \end {array}\right ] \]

11803

\[ {}\left [\begin {array}{c} t x^{\prime }+2 x-2 y=t \\ t y^{\prime }+x+5 y=t^{2} \end {array}\right ] \]

11804

\[ {}\left [\begin {array}{c} t^{2} \left (1-\sin \left (t \right )\right ) x^{\prime }=t \left (1-2 \sin \left (t \right )\right ) x+t^{2} y \\ t^{2} \left (1-\sin \left (t \right )\right ) y^{\prime }=\left (t \cos \left (t \right )-\sin \left (t \right )\right ) x+t \left (1-t \cos \left (t \right )\right ) y \end {array}\right ] \]

11805

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }+y=f \left (t \right ) \\ x^{\prime \prime }+y^{\prime \prime }+y^{\prime }+x+y=g \left (t \right ) \end {array}\right ] \]

11806

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }-3 x=0 \\ x^{\prime \prime }+y^{\prime }-2 y={\mathrm e}^{2 t} \end {array}\right ] \]

11807

\[ {}\left [\begin {array}{c} x^{\prime }+x-y^{\prime }=2 t \\ x^{\prime \prime }+y^{\prime }-9 x+3 y=\sin \left (2 t \right ) \end {array}\right ] \]

11808

\[ {}\left [\begin {array}{c} x^{\prime }-x+2 y=0 \\ x^{\prime \prime }-2 y^{\prime }=2 t -\cos \left (2 t \right ) \end {array}\right ] \]

11809

\[ {}\left [\begin {array}{c} t x^{\prime }-t y^{\prime }-2 y=0 \\ t x^{\prime \prime }+2 x^{\prime }+t x=0 \end {array}\right ] \]

11810

\[ {}\left [\begin {array}{c} x^{\prime \prime }+a y=0 \\ y^{\prime \prime }-a^{2} y=0 \end {array}\right ] \]

11811

\[ {}\left [\begin {array}{c} x^{\prime \prime }=a x+b y \\ y^{\prime \prime }=c x+d y \end {array}\right ] \]

11812

\[ {}\left [\begin {array}{c} x^{\prime \prime }=a_{1} x+b_{1} y+c_{1} \\ y^{\prime \prime }=a_{2} x+b_{2} y+c_{2} \end {array}\right ] \]

11813

\[ {}\left [\begin {array}{c} x^{\prime \prime }+x+y=-5 \\ y^{\prime \prime }-4 x-3 y=-3 \end {array}\right ] \]

11814

\[ {}\left [\begin {array}{c} x^{\prime \prime }=\left (3 \cos \left (a t +b \right )^{2}-1\right ) c^{2} x+\frac {3 c^{2} y \sin \left (2 a t b \right )}{2} \\ y^{\prime \prime }=\left (3 \sin \left (a t +b \right )^{2}-1\right ) c^{2} y+\frac {3 c^{2} x \sin \left (2 a t b \right )}{2} \end {array}\right ] \]

11815

\[ {}\left [\begin {array}{c} x^{\prime \prime }+6 x+7 y=0 \\ y^{\prime \prime }+3 x+2 y=2 t \end {array}\right ] \]

11816

\[ {}\left [\begin {array}{c} x^{\prime \prime }-a y^{\prime }+b x=0 \\ y^{\prime \prime }+a x^{\prime }+b y=0 \end {array}\right ] \]

11817

\[ {}\left [\begin {array}{c} a_{1} x^{\prime \prime }+b_{1} x^{\prime }+c_{1} x-A y^{\prime }=B \,{\mathrm e}^{i \omega t} \\ a_{2} y^{\prime \prime }+b_{2} y^{\prime }+c_{2} y+A x^{\prime }=0 \end {array}\right ] \]

11818

\[ {}\left [\begin {array}{c} x^{\prime \prime }+a \left (x^{\prime }-y^{\prime }\right )+b_{1} x=c_{1} {\mathrm e}^{i \omega t} \\ y^{\prime \prime }+a \left (y^{\prime }-x^{\prime }\right )+b_{2} y=c_{2} {\mathrm e}^{i \omega t} \end {array}\right ] \]

11819

\[ {}\left [\begin {array}{c} \operatorname {a11} x^{\prime \prime }+\operatorname {b11} x^{\prime }+\operatorname {c11} x+\operatorname {a12} y^{\prime \prime }+\operatorname {b12} y^{\prime }+\operatorname {c12} y=0 \\ \operatorname {a21} x^{\prime \prime }+\operatorname {b21} x^{\prime }+\operatorname {c21} x+\operatorname {a22} y^{\prime \prime }+\operatorname {b22} y^{\prime }+\operatorname {c22} y=0 \end {array}\right ] \]

11820

\[ {}\left [\begin {array}{c} x^{\prime \prime }-2 x^{\prime }-y^{\prime }+y=0 \\ y^{\prime \prime \prime }-y^{\prime \prime }+2 x^{\prime }-x=t \end {array}\right ] \]

11821

\[ {}\left [\begin {array}{c} x^{\prime \prime }+y^{\prime \prime }+y^{\prime }=\sinh \left (2 t \right ) \\ 2 x^{\prime \prime }+y^{\prime \prime }=2 t \end {array}\right ] \]

11822

\[ {}\left [\begin {array}{c} x^{\prime \prime }-x^{\prime }+y^{\prime }=0 \\ x^{\prime \prime }+y^{\prime \prime }-x=0 \end {array}\right ] \]

11823

\[ {}\left [\begin {array}{c} x^{\prime }=2 x \\ y^{\prime }=3 x-2 y \\ z^{\prime }=2 y+3 z \end {array}\right ] \]

11824

\[ {}\left [\begin {array}{c} x^{\prime }=4 x \\ y^{\prime }=x-2 y \\ z^{\prime }=x-4 y+z \end {array}\right ] \]

11825

\[ {}\left [\begin {array}{c} x^{\prime }=y-z \\ y^{\prime }=x+y \\ z^{\prime }=x+z \end {array}\right ] \]

11826

\[ {}\left [\begin {array}{c} x^{\prime }-y+z=0 \\ -x+y^{\prime }-y=t \\ z^{\prime }-x-z=t \end {array}\right ] \]

11827

\[ {}\left [\begin {array}{c} a x^{\prime }=b c \left (y-z\right ) \\ b y^{\prime }=c a \left (z-x\right ) \\ c z^{\prime }=a b \left (x-y\right ) \end {array}\right ] \]

11828

\[ {}\left [\begin {array}{c} x^{\prime }=c y-b z \\ y^{\prime }=a z-c x \\ z^{\prime }=b x-a y \end {array}\right ] \]

11829

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-z \\ y^{\prime }=y+z-x \\ z^{\prime }=x-y+z \end {array}\right ] \]

11830

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+48 y-28 z \\ y^{\prime }=-4 x+40 y-22 z \\ z^{\prime }=-6 x+57 y-31 z \end {array}\right ] \]

11831

\[ {}\left [\begin {array}{c} x^{\prime }=6 x-72 y+44 z \\ y^{\prime }=4 x-4 y+26 z \\ z^{\prime }=6 x-63 y+38 z \end {array}\right ] \]

11832

\[ {}\left [\begin {array}{c} x^{\prime }=a x+g y+\beta z \\ y^{\prime }=g x+b y+\alpha z \\ z^{\prime }=\beta x+\alpha y+c z \end {array}\right ] \]

11833

\[ {}\left [\begin {array}{c} t x^{\prime }=2 x-t \\ t^{3} y^{\prime }=-x+t^{2} y+t \\ t^{4} z^{\prime }=-x-t^{2} y+t^{3} z+t \end {array}\right ] \]

11834

\[ {}\left [\begin {array}{c} a t x^{\prime }=b c \left (y-z\right ) \\ b t y^{\prime }=c a \left (z-x\right ) \\ c t z^{\prime }=a b \left (x-y\right ) \end {array}\right ] \]

11835

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=a x_{2}+b x_{3} \cos \left (c t \right )+b x_{4} \sin \left (c t \right ) \\ x_{2}^{\prime }=-a x_{1}+b x_{3} \sin \left (c t \right )-b x_{4} \cos \left (c t \right ) \\ x_{3}^{\prime }=-b x_{1} \cos \left (c t \right )-b x_{2} \sin \left (c t \right )+a x_{4} \\ x_{4}^{\prime }=-b x_{1} \sin \left (c t \right )+b x_{2} \cos \left (c t \right )-a x_{3} \end {array}\right ] \]

11836

\[ {}\left [\begin {array}{c} x^{\prime }=-x \left (x+y\right ) \\ y^{\prime }=y \left (x+y\right ) \end {array}\right ] \]

11837

\[ {}\left [\begin {array}{c} x^{\prime }=\left (a y+b \right ) x \\ y^{\prime }=\left (c x+d \right ) y \end {array}\right ] \]

11838

\[ {}\left [\begin {array}{c} x^{\prime }=x \left (a \left (p x+q y\right )+\alpha \right ) \\ y^{\prime }=y \left (\beta +b \left (p x+q y\right )\right ) \end {array}\right ] \]

11839

\[ {}\left [\begin {array}{c} x^{\prime }=h \left (a -x\right ) \left (c -x-y\right ) \\ y^{\prime }=k \left (b -y\right ) \left (c -x-y\right ) \end {array}\right ] \]

11840

\[ {}\left [\begin {array}{c} x^{\prime }=y^{2}-\cos \left (x\right ) \\ y^{\prime }=-y \sin \left (x\right ) \end {array}\right ] \]

11841

\[ {}\left [\begin {array}{c} x^{\prime }=-x \,y^{2}+x+y \\ y^{\prime }=y \,x^{2}-x-y \end {array}\right ] \]

11842

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-x \left (x^{2}+y^{2}\right ) \\ y^{\prime }=-x+y-y \left (x^{2}+y^{2}\right ) \end {array}\right ] \]

11843

\[ {}\left [\begin {array}{c} x^{\prime }=-y+x \left (x^{2}+y^{2}-1\right ) \\ y^{\prime }=x+y \left (x^{2}+y^{2}-1\right ) \end {array}\right ] \]

11844

\[ {}\left [\begin {array}{c} \left (t^{2}+1\right ) x^{\prime }=-t x+y \\ \left (t^{2}+1\right ) y^{\prime }=-x-t y \end {array}\right ] \]

11845

\[ {}\left [\begin {array}{c} \left (x^{2}+y^{2}-t^{2}\right ) x^{\prime }=-2 t x \\ \left (x^{2}+y^{2}-t^{2}\right ) y^{\prime }=-2 t y \end {array}\right ] \]

11846

\[ {}\left [\begin {array}{c} {x^{\prime }}^{2}+t x^{\prime }+a y^{\prime }-x=0 \\ x^{\prime } y^{\prime }+t y^{\prime }-y=0 \end {array}\right ] \]

11847

\[ {}\left [\begin {array}{c} x=t x^{\prime }+f \left (x^{\prime }, y^{\prime }\right ) \\ y=t y^{\prime }+g \left (x^{\prime }, y^{\prime }\right ) \end {array}\right ] \]

11848

\[ {}\left [\begin {array}{c} x^{\prime \prime }=a \,{\mathrm e}^{2 x}-{\mathrm e}^{-x}+{\mathrm e}^{-2 x} \cos \left (y\right )^{2} \\ y^{\prime \prime }={\mathrm e}^{-2 x} \sin \left (y\right ) \cos \left (y\right )-\frac {\sin \left (y\right )}{\cos \left (y\right )^{3}} \end {array}\right ] \]

11849

\[ {}\left [\begin {array}{c} x^{\prime \prime }=\frac {k x}{\left (x^{2}+y^{2}\right )^{{3}/{2}}} \\ y^{\prime \prime }=\frac {k y}{\left (x^{2}+y^{2}\right )^{{3}/{2}}} \end {array}\right ] \]

11850

\[ {}\left [\begin {array}{c} x^{\prime }=y-z \\ y^{\prime }=x^{2}+y \\ z^{\prime }=x^{2}+z \end {array}\right ] \]

11851

\[ {}\left [\begin {array}{c} a x^{\prime }=\left (b -c \right ) y z \\ b y^{\prime }=\left (c -a \right ) z x \\ c z^{\prime }=\left (a -b \right ) x y \end {array}\right ] \]

11852

\[ {}\left [\begin {array}{c} x^{\prime }=x \left (y-z\right ) \\ y^{\prime }=y \left (z-x\right ) \\ z^{\prime }=z \left (x-y\right ) \end {array}\right ] \]

11853

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }=x y \\ y^{\prime }+z^{\prime }=y z \\ x^{\prime }+z^{\prime }=x z \end {array}\right ] \]

11854

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {x^{2}}{2}-\frac {y}{24} \\ y^{\prime }=2 x y-3 z \\ z^{\prime }=3 x z-\frac {y^{2}}{6} \end {array}\right ] \]

11855

\[ {}\left [\begin {array}{c} x^{\prime }=x \left (y^{2}-z^{2}\right ) \\ y^{\prime }=y \left (z^{2}-x^{2}\right ) \\ z^{\prime }=z \left (x^{2}-y^{2}\right ) \end {array}\right ] \]

11856

\[ {}\left [\begin {array}{c} x^{\prime }=x \left (y^{2}-z^{2}\right ) \\ y^{\prime }=-y \left (z^{2}+x^{2}\right ) \\ z^{\prime }=z \left (x^{2}+y^{2}\right ) \end {array}\right ] \]

11857

\[ {}\left [\begin {array}{c} x^{\prime }=-x \,y^{2}+x+y \\ y^{\prime }=y \,x^{2}-x-y \\ z^{\prime }=y^{2}-x^{2} \end {array}\right ] \]

11858

\[ {}\left [\begin {array}{c} \left (x-y\right ) \left (x-z\right ) x^{\prime }=f \left (t \right ) \\ \left (y-x\right ) \left (y-z\right ) y^{\prime }=f \left (t \right ) \\ \left (z-x\right ) \left (z-y\right ) z^{\prime }=f \left (t \right ) \end {array}\right ] \]

12945

\[ {}\left [\begin {array}{c} 3 x^{\prime }+3 x+2 y={\mathrm e}^{t} \\ 4 x-3 y^{\prime }+3 y=3 t \end {array}\right ] \]

13128

\[ {}\left [\begin {array}{c} x^{\prime }=-3 y \\ y^{\prime }=2 x \end {array}\right ] \]

13129

\[ {}\left [\begin {array}{c} x^{\prime }=-2 y \\ y^{\prime }=-4 x \end {array}\right ] \]

13130

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x \\ y^{\prime }=2 y \end {array}\right ] \]

13131

\[ {}\left [\begin {array}{c} x^{\prime }=4 y \\ y^{\prime }=2 y \end {array}\right ] \]

13132

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=x+2 y \end {array}\right ] \]

13133

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=x+y \end {array}\right ] \]

13134

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=x \end {array}\right ] \]

13135

\[ {}\left [\begin {array}{c} x^{\prime }=-x-2 y \\ y^{\prime }=2 x-y \end {array}\right ] \]

13136

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-3 y \\ y^{\prime }=-x+4 y \end {array}\right ] \]

13137

\[ {}\left [\begin {array}{c} x^{\prime }=-3 y \\ y^{\prime }=-2 x+y \end {array}\right ] \]

13138

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x \\ y^{\prime }=x \end {array}\right ] \]

13139

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-y \\ y^{\prime }=-4 y \end {array}\right ] \]

13140

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=-2 x+4 y \end {array}\right ] \]

13141

\[ {}\left [\begin {array}{c} x^{\prime }=-6 y \\ y^{\prime }=6 y \end {array}\right ] \]

13142

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+3 y \\ y^{\prime }=-x-14 \end {array}\right ] \]

13143

\[ {}\left [\begin {array}{c} x^{\prime }=3 y-3 x \\ y^{\prime }=x+2 y-1 \end {array}\right ] \]

13144

\[ {}\left [\begin {array}{c} x^{\prime }=y-x \\ y^{\prime }=-3 y \end {array}\right ] \]

13145

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=3 x-4 y \end {array}\right ] \]

13146

\[ {}\left [\begin {array}{c} x^{\prime }=y-x \\ y^{\prime }=x-2 y \end {array}\right ] \]

13147

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=3 y-3 x \end {array}\right ] \]

13148

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=3 x-4 y \end {array}\right ] \]
i.c.

13149

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-y \\ y^{\prime }=3 x+y \end {array}\right ] \]
i.c.

13150

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+y \\ y^{\prime }=-3 y \end {array}\right ] \]

13151

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=x+3 y \end {array}\right ] \]

13152

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=3 x+2 y \end {array}\right ] \]

13153

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+4 y \\ y^{\prime }=-3 y \end {array}\right ] \]

13154

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+2 y \\ y^{\prime }=6 x+3 y \end {array}\right ] \]

13155

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x+3 y \\ y^{\prime }=2 x-10 y \end {array}\right ] \]

13156

\[ {}\left [\begin {array}{c} x^{\prime }=2 x \\ y^{\prime }=2 y \end {array}\right ] \]

13157

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y \\ y^{\prime }=4 x-y \end {array}\right ] \]

13158

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-4 y \\ y^{\prime }=x+y \end {array}\right ] \]

13159

\[ {}\left [\begin {array}{c} x^{\prime }=9 y \\ y^{\prime }=-x \end {array}\right ] \]

13160

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=-x \end {array}\right ] \]
i.c.

13161

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=-2 x+4 y \end {array}\right ] \]

13162

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-y+1 \\ y^{\prime }=x+y+2 \end {array}\right ] \]
i.c.

13163

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x+3 y+{\mathrm e}^{-t} \\ y^{\prime }=2 x-10 y \end {array}\right ] \]

13164

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x+\cos \left (w t \right ) \end {array}\right ] \]

13165

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+2 y+3 \\ y^{\prime }=7 x+5 y+2 t \end {array}\right ] \]

13166

\[ {}\left [\begin {array}{c} x^{\prime }=x-3 y \\ y^{\prime }=3 x+7 y \end {array}\right ] \]

13525

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-2 x-4 y={\mathrm e}^{t} \\ x^{\prime }+y^{\prime }-y={\mathrm e}^{4 t} \end {array}\right ] \]

13526

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x=-2 t \\ x^{\prime }+y^{\prime }-3 x-y=t^{2} \end {array}\right ] \]

13527

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x-3 y={\mathrm e}^{t} \\ x^{\prime }+y^{\prime }+x={\mathrm e}^{3 t} \end {array}\right ] \]

13528

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x-2 y=2 \,{\mathrm e}^{t} \\ x^{\prime }+y^{\prime }-3 x-4 y={\mathrm e}^{2 t} \end {array}\right ] \]

13529

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }-x-y={\mathrm e}^{-t} \\ x^{\prime }+2 x+y^{\prime }+y={\mathrm e}^{t} \end {array}\right ] \]

13530

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }-3 x-y=t \\ x^{\prime }+y^{\prime }-4 x-y={\mathrm e}^{t} \end {array}\right ] \]

13531

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x-6 y={\mathrm e}^{3 t} \\ x^{\prime }+2 y^{\prime }-2 x-6 y=t \end {array}\right ] \]

13532

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x-3 y=3 t \\ x^{\prime }+2 y^{\prime }-2 x-3 y=1 \end {array}\right ] \]

13533

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }+2 y=\sin \left (t \right ) \\ x^{\prime }+y^{\prime }-x-y=0 \end {array}\right ] \]

13534

\[ {}\left [\begin {array}{c} x^{\prime }-y^{\prime }-2 x+4 y=t \\ x^{\prime }+y^{\prime }-x-y=1 \end {array}\right ] \]

13535

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }+x+5 y=4 t \\ x^{\prime }+y^{\prime }+2 x+2 y=2 \end {array}\right ] \]

13536

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }-x+5 y=t^{2} \\ x^{\prime }+2 y^{\prime }-2 x+4 y=2 t +1 \end {array}\right ] \]

13537

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }+x+y=t^{2}+4 t \\ x^{\prime }+y^{\prime }+2 x+2 y=2 t^{2}-2 t \end {array}\right ] \]

13538

\[ {}\left [\begin {array}{c} 3 x^{\prime }+2 y^{\prime }-x+y=t -1 \\ x^{\prime }+y^{\prime }-x=t +2 \end {array}\right ] \]

13539

\[ {}\left [\begin {array}{c} 2 x^{\prime }+4 y^{\prime }+x-y=3 \,{\mathrm e}^{t} \\ x^{\prime }+y^{\prime }+2 x+2 y={\mathrm e}^{t} \end {array}\right ] \]

13540

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }-x-y=-2 t \\ x^{\prime }+y^{\prime }+x-y=t^{2} \end {array}\right ] \]

13541

\[ {}\left [\begin {array}{c} 2 x^{\prime }+y^{\prime }-x-y=1 \\ x^{\prime }+y^{\prime }+2 x-y=t \end {array}\right ] \]

13542

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+4 y \\ y^{\prime }=2 x+y \end {array}\right ] \]
i.c.

13543

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+3 y \\ y^{\prime }=4 x+y \end {array}\right ] \]
i.c.

13544

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+2 y+5 t \\ y^{\prime }=3 x+4 y+17 t \end {array}\right ] \]

13545

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-2 y \\ y^{\prime }=4 x-y \end {array}\right ] \]

13546

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-y \\ y^{\prime }=3 x+y \end {array}\right ] \]

13547

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+7 y \\ y^{\prime }=3 x+2 y \end {array}\right ] \]
i.c.

13548

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y \\ y^{\prime }=7 x+4 y \end {array}\right ] \]
i.c.

13563

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-z \\ y^{\prime }=2 x+3 y-4 z \\ z^{\prime }=4 x+y-4 z \end {array}\right ] \]

13564

\[ {}\left [\begin {array}{c} x^{\prime }=x-y-z \\ y^{\prime }=x+3 y+z \\ z^{\prime }=-3 x-6 y+6 z \end {array}\right ] \]

13607

\[ {}\left [\begin {array}{c} x^{\prime }=x+3 y \\ y^{\prime }=3 x+y \end {array}\right ] \]

13608

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+2 y \\ y^{\prime }=x+2 y \end {array}\right ] \]

13609

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+4 y \\ y^{\prime }=3 x+2 y \end {array}\right ] \]

13610

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+5 y \\ y^{\prime }=x-2 y \end {array}\right ] \]

13611

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-4 y \\ y^{\prime }=2 x-2 y \end {array}\right ] \]

13612

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=4 x+5 y \end {array}\right ] \]

13613

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=x+5 y \end {array}\right ] \]

13614

\[ {}\left [\begin {array}{c} x^{\prime }=x+7 y \\ y^{\prime }=3 x+5 y \end {array}\right ] \]

13615

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=3 x-y \end {array}\right ] \]

13616

\[ {}\left [\begin {array}{c} x^{\prime }=a x+b y \\ y^{\prime }=c x+d y \end {array}\right ] \]

13617

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-4 y-x \left (x^{2}+y^{2}\right ) \\ y^{\prime }=4 x+4 y-y \left (x^{2}+y^{2}\right ) \end {array}\right ] \]

13618

\[ {}\left [\begin {array}{c} x^{\prime }=y+\frac {x \left (1-x^{2}-y^{2}\right )}{\sqrt {x^{2}+y^{2}}} \\ y^{\prime }=-x+\frac {y \left (1-x^{2}-y^{2}\right )}{\sqrt {x^{2}+y^{2}}} \end {array}\right ] \]

13624

\[ {}\left [\begin {array}{c} x^{\prime }=x-x^{2} \\ y^{\prime }=2 y-y^{2} \end {array}\right ] \]

13738

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-y \\ y^{\prime }=2 x+y+t^{2} \end {array}\right ] \]
i.c.

13739

\[ {}\left [\begin {array}{c} x^{\prime }=x-4 y+\cos \left (2 t \right ) \\ y^{\prime }=x+y \end {array}\right ] \]
i.c.

13740

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+2 y \\ y^{\prime }=6 x+3 y+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

13741

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-4 y+{\mathrm e}^{3 t} \\ y^{\prime }=x+y \end {array}\right ] \]
i.c.

13742

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+5 y \\ y^{\prime }=-2 x+\cos \left (3 t \right ) \end {array}\right ] \]
i.c.

13743

\[ {}\left [\begin {array}{c} x^{\prime }=x+y+{\mathrm e}^{-t} \\ y^{\prime }=4 x-2 y+{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

13744

\[ {}\left [\begin {array}{c} x^{\prime }=8 x+14 y \\ y^{\prime }=7 x+y \end {array}\right ] \]
i.c.

13754

\[ {}\left [\begin {array}{c} x^{\prime }=8 x+14 y \\ y^{\prime }=7 x+y \end {array}\right ] \]

13755

\[ {}\left [\begin {array}{c} x^{\prime }=2 x \\ y^{\prime }=-5 x-3 y \end {array}\right ] \]

13756

\[ {}\left [\begin {array}{c} x^{\prime }=11 x-2 y \\ y^{\prime }=3 x+4 y \end {array}\right ] \]

13757

\[ {}\left [\begin {array}{c} x^{\prime }=x+20 y \\ y^{\prime }=40 x-19 y \end {array}\right ] \]

13758

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+2 y \\ y^{\prime }=x-y \end {array}\right ] \]

13759

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=x-y \end {array}\right ] \]

13760

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+3 y \\ y^{\prime }=-6 x+4 y \end {array}\right ] \]

13761

\[ {}\left [\begin {array}{c} x^{\prime }=-11 x-2 y \\ y^{\prime }=13 x-9 y \end {array}\right ] \]

13762

\[ {}\left [\begin {array}{c} x^{\prime }=7 x-5 y \\ y^{\prime }=10 x-3 y \end {array}\right ] \]

13763

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-4 y \\ y^{\prime }=x+y \end {array}\right ] \]

13764

\[ {}\left [\begin {array}{c} x^{\prime }=-6 x+2 y \\ y^{\prime }=-2 x-2 y \end {array}\right ] \]

13765

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-y \\ y^{\prime }=x-5 y \end {array}\right ] \]

13766

\[ {}\left [\begin {array}{c} x^{\prime }=13 x \\ y^{\prime }=13 y \end {array}\right ] \]

13767

\[ {}\left [\begin {array}{c} x^{\prime }=7 x-4 y \\ y^{\prime }=x+3 y \end {array}\right ] \]

13768

\[ {}\left [\begin {array}{c} x^{\prime }=y-x \\ y^{\prime }=y-x \end {array}\right ] \]

13865

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x \end {array}\right ] \]
i.c.

13866

\[ {}\left [\begin {array}{c} x^{\prime }+5 x+y={\mathrm e}^{t} \\ y^{\prime }-x-3 y={\mathrm e}^{2 t} \end {array}\right ] \]

13867

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=z \\ z^{\prime }=x \end {array}\right ] \]

13868

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=\frac {y^{2}}{x} \end {array}\right ] \]

14019

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=3 x-4 y \end {array}\right ] \]

14020

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {5 x}{4}+\frac {3 y}{4} \\ y^{\prime }=\frac {x}{2}-\frac {3 y}{2} \end {array}\right ] \]

14021

\[ {}\left [\begin {array}{c} x^{\prime }-x+2 y=0 \\ y^{\prime }+y-x=0 \end {array}\right ] \]

14022

\[ {}\left [\begin {array}{c} x^{\prime }+5 x-2 y=0 \\ 2 x+y^{\prime }-y=0 \end {array}\right ] \]

14023

\[ {}\left [\begin {array}{c} x^{\prime }-3 x+2 y=0 \\ y^{\prime }-x+3 y=0 \end {array}\right ] \]

14024

\[ {}\left [\begin {array}{c} x^{\prime }+x-z=0 \\ x+y^{\prime }-y=0 \\ z^{\prime }+x+2 y-3 z=0 \end {array}\right ] \]

14025

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {x}{2}+2 y-3 z \\ y^{\prime }=y-\frac {z}{2} \\ z^{\prime }=-2 x+z \end {array}\right ] \]

14026

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }=y \\ x^{\prime }-y^{\prime }=x \end {array}\right ] \]

14027

\[ {}\left [\begin {array}{c} x^{\prime }+2 y^{\prime }=t \\ x^{\prime }-y^{\prime }=x+y \end {array}\right ] \]

14028

\[ {}\left [\begin {array}{c} x^{\prime }-y^{\prime }=x+y-t \\ 2 x^{\prime }+3 y^{\prime }=2 x+6 \end {array}\right ] \]

14029

\[ {}\left [\begin {array}{c} 2 x^{\prime }-y^{\prime }=t \\ 3 x^{\prime }+2 y^{\prime }=y \end {array}\right ] \]

14030

\[ {}\left [\begin {array}{c} 5 x^{\prime }-3 y^{\prime }=x+y \\ 3 x^{\prime }-y^{\prime }=t \end {array}\right ] \]

14031

\[ {}\left [\begin {array}{c} x^{\prime }-4 y^{\prime }=0 \\ 2 x^{\prime }-3 y^{\prime }=y+t \end {array}\right ] \]

14032

\[ {}\left [\begin {array}{c} 3 x^{\prime }+2 y^{\prime }=\sin \left (t \right ) \\ x^{\prime }-2 y^{\prime }=x+y+t \end {array}\right ] \]

14033

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+9 y+12 \,{\mathrm e}^{-t} \\ y^{\prime }=-5 x+2 y \end {array}\right ] \]

14034

\[ {}\left [\begin {array}{c} x^{\prime }=-7 x+6 y+6 \,{\mathrm e}^{-t} \\ y^{\prime }=-12 x+5 y+37 \end {array}\right ] \]

14035

\[ {}\left [\begin {array}{c} x^{\prime }=-7 x+10 y+18 \,{\mathrm e}^{t} \\ y^{\prime }=-10 x+9 y+37 \end {array}\right ] \]

14036

\[ {}\left [\begin {array}{c} x^{\prime }=-14 x+39 y+78 \sinh \left (t \right ) \\ y^{\prime }=-6 x+16 y+6 \cosh \left (t \right ) \end {array}\right ] \]

14037

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+4 y-2 z-2 \sinh \left (t \right ) \\ y^{\prime }=4 x+2 y-2 z+10 \cosh \left (t \right ) \\ z^{\prime }=-x+3 y+z+5 \end {array}\right ] \]

14038

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+6 y-2 z+50 \,{\mathrm e}^{t} \\ y^{\prime }=6 x+2 y-2 z+21 \,{\mathrm e}^{-t} \\ z^{\prime }=-x+6 y+z+9 \end {array}\right ] \]

14039

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-2 y+4 z \\ y^{\prime }=-2 x+y+2 z \\ z^{\prime }=-4 x-2 y+6 z+{\mathrm e}^{2 t} \end {array}\right ] \]

14040

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y+3 z \\ y^{\prime }=x-y+2 z+2 \,{\mathrm e}^{-t} \\ z^{\prime }=-2 x+2 y-2 z \end {array}\right ] \]

14041

\[ {}\left [\begin {array}{c} x^{\prime }=7 x+y-1-6 \,{\mathrm e}^{t} \\ y^{\prime }=-4 x+3 y+4 \,{\mathrm e}^{t}-3 \end {array}\right ] \]
i.c.

14042

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y+24 \sin \left (t \right ) \\ y^{\prime }=9 x-3 y+12 \cos \left (t \right ) \end {array}\right ] \]
i.c.

14043

\[ {}\left [\begin {array}{c} x^{\prime }=7 x-4 y+10 \,{\mathrm e}^{t} \\ y^{\prime }=3 x+14 y+6 \,{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

14044

\[ {}\left [\begin {array}{c} x^{\prime }=-7 x+4 y+6 \,{\mathrm e}^{3 t} \\ y^{\prime }=-5 x+2 y+6 \,{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

14045

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-3 y+z \\ y^{\prime }=2 y+2 z+29 \,{\mathrm e}^{-t} \\ z^{\prime }=5 x+y+z+39 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

14046

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y-z+5 \sin \left (t \right ) \\ y^{\prime }=y+z-10 \cos \left (t \right ) \\ z^{\prime }=x+z+2 \end {array}\right ] \]
i.c.

14047

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+3 y+z+5 \sin \left (2 t \right ) \\ y^{\prime }=x-5 y-3 z+5 \cos \left (2 t \right ) \\ z^{\prime }=-3 x+7 y+3 z+23 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

14048

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+y-3 z+2 \,{\mathrm e}^{t} \\ y^{\prime }=4 x-y+2 z+4 \,{\mathrm e}^{t} \\ z^{\prime }=4 x-2 y+3 z+4 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

14049

\[ {}\left [\begin {array}{c} x^{\prime }=x+5 y+10 \sinh \left (t \right ) \\ y^{\prime }=19 x-13 y+24 \sinh \left (t \right ) \end {array}\right ] \]

14050

\[ {}\left [\begin {array}{c} x^{\prime }=9 x-3 y-6 t \\ y^{\prime }=-x+11 y+10 t \end {array}\right ] \]

14193

\[ {}\left [\begin {array}{c} x^{\prime }=y+1 \\ y^{\prime }=1+x \end {array}\right ] \]
i.c.

14194

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=x-y \end {array}\right ] \]
i.c.

14195

\[ {}\left [\begin {array}{c} 4 x^{\prime }-y^{\prime }+3 x=\sin \left (t \right ) \\ x^{\prime }+y=\cos \left (t \right ) \end {array}\right ] \]

14206

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-3 y \\ y^{\prime }=5 x+6 y \end {array}\right ] \]

14207

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x-10 y \\ y^{\prime }=x-2 y \end {array}\right ] \]

14208

\[ {}\left [\begin {array}{c} x^{\prime }=12 x+18 y \\ y^{\prime }=-8 x-12 y \end {array}\right ] \]

14211

\[ {}\left [\begin {array}{c} x^{\prime }=y-x \\ y^{\prime }=-x-3 y \end {array}\right ] \]
i.c.

14212

\[ {}\left [\begin {array}{c} x^{\prime }=x-5 y \\ y^{\prime }=x-y \end {array}\right ] \]

14213

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=x-2 y \end {array}\right ] \]

14214

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+2 y \\ y^{\prime }=3 x-2 y \end {array}\right ] \]

14215

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=2 x+2 y \end {array}\right ] \]

14216

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=3 x-y \end {array}\right ] \]

14217

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=y-x \end {array}\right ] \]

14218

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-y \\ y^{\prime }=x+y \end {array}\right ] \]

14219

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=2 x-2 y \end {array}\right ] \]

14220

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=2 x-3 y \end {array}\right ] \]

14221

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=x+3 y \end {array}\right ] \]

14222

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=2 x-4 y \end {array}\right ] \]

14223

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=y \end {array}\right ] \]

14224

\[ {}\left [\begin {array}{c} x^{\prime }=0 \\ y^{\prime }=x \end {array}\right ] \]

14230

\[ {}\left [\begin {array}{c} x^{\prime }=x-5 y \\ y^{\prime }=x-y \end {array}\right ] \]

14478

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}-3 y_{2} \\ y_{2}^{\prime }=y_{1}-2 y_{2} \end {array}\right ] \]

14479

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}-2 y_{2} \\ y_{2}^{\prime }=y_{1}+3 y_{2} \end {array}\right ] \]

14480

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+2 y_{2}+x -1 \\ y_{2}^{\prime }=3 y_{1}+2 y_{2}-5 x -2 \end {array}\right ] \]
i.c.

14481

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=\frac {2 y_{1}}{x}-\frac {y_{2}}{x^{2}}-3+\frac {1}{x}-\frac {1}{x^{2}} \\ y_{2}^{\prime }=2 y_{1}+1-6 x \end {array}\right ] \]
i.c.

14482

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=\frac {5 y_{1}}{x}+\frac {4 y_{2}}{x}-2 x \\ y_{2}^{\prime }=-\frac {6 y_{1}}{x}-\frac {5 y_{2}}{x}+5 x \end {array}\right ] \]
i.c.

14483

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}-2 y_{2} \\ y_{2}^{\prime }=y_{2}-y_{1} \end {array}\right ] \]
i.c.

14484

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=\sin \left (x \right ) y_{1}+\sqrt {x}\, y_{2}+\ln \left (x \right ) \\ y_{2}^{\prime }=\tan \left (x \right ) y_{1}-{\mathrm e}^{x} y_{2}+1 \end {array}\right ] \]
i.c.

14485

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=\sin \left (x \right ) y_{1}+\sqrt {x}\, y_{2}+\ln \left (x \right ) \\ y_{2}^{\prime }=\tan \left (x \right ) y_{1}-{\mathrm e}^{x} y_{2}+1 \end {array}\right ] \]
i.c.

14486

\[ {}\left [\begin {array}{c} y_{1}^{\prime }={\mathrm e}^{-x} y_{1}-\sqrt {x +1}\, y_{2}+x^{2} \\ y_{2}^{\prime }=\frac {y_{1}}{\left (-2+x \right )^{2}} \end {array}\right ] \]
i.c.

14487

\[ {}\left [\begin {array}{c} y_{1}^{\prime }={\mathrm e}^{-x} y_{1}-\sqrt {x +1}\, y_{2}+x^{2} \\ y_{2}^{\prime }=\frac {y_{1}}{\left (-2+x \right )^{2}} \end {array}\right ] \]
i.c.

14496

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}-3 y_{2}+5 \,{\mathrm e}^{x} \\ y_{2}^{\prime }=y_{1}+4 y_{2}-2 \,{\mathrm e}^{-x} \end {array}\right ] \]

14497

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2}-2 y_{1}+\sin \left (2 x \right ) \\ y_{2}^{\prime }=-3 y_{1}+y_{2}-2 \cos \left (3 x \right ) \end {array}\right ] \]

14498

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{2} \\ y_{2}^{\prime }=3 y_{1} \\ y_{3}^{\prime }=2 y_{3}-y_{1} \end {array}\right ] \]

14499

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 x y_{1}-x^{2} y_{2}+4 x \\ y_{2}^{\prime }={\mathrm e}^{x} y_{1}+3 \,{\mathrm e}^{-x} y_{2}-\cos \left (3 x \right ) \end {array}\right ] \]

14500

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}-3 y_{2} \\ y_{2}^{\prime }=y_{1}-2 y_{2} \end {array}\right ] \]

14501

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}-3 y_{2}+4 x -2 \\ y_{2}^{\prime }=y_{1}-2 y_{2}+3 x \end {array}\right ] \]

14502

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=\frac {5 y_{1}}{x}+\frac {4 y_{2}}{x} \\ y_{2}^{\prime }=-\frac {6 y_{1}}{x}-\frac {5 y_{2}}{x} \end {array}\right ] \]

14503

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=\frac {5 y_{1}}{x}+\frac {4 y_{2}}{x}-2 x \\ y_{2}^{\prime }=-\frac {6 y_{1}}{x}-\frac {5 y_{2}}{x}+5 x \end {array}\right ] \]

14504

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}+y_{2}-2 y_{3} \\ y_{2}^{\prime }=3 y_{2}-2 y_{3} \\ y_{3}^{\prime }=3 y_{1}+y_{2}-3 y_{3} \end {array}\right ] \]

14505

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=5 y_{1}-5 y_{2}-5 y_{3} \\ y_{2}^{\prime }=-y_{1}+4 y_{2}+2 y_{3} \\ y_{3}^{\prime }=3 y_{1}-5 y_{2}-3 y_{3} \end {array}\right ] \]

14506

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{1}+6 y_{2}+6 y_{3} \\ y_{2}^{\prime }=y_{1}+3 y_{2}+2 y_{3} \\ y_{3}^{\prime }=-y_{1}-4 y_{2}-3 y_{3} \end {array}\right ] \]

14507

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+2 y_{2}-3 y_{3} \\ y_{2}^{\prime }=-3 y_{1}+4 y_{2}-2 y_{3} \\ y_{3}^{\prime }=2 y_{1}+y_{3} \end {array}\right ] \]

14508

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-2 y_{1}-y_{2}+y_{3} \\ y_{2}^{\prime }=-y_{1}-2 y_{2}-y_{3} \\ y_{3}^{\prime }=y_{1}-y_{2}-2 y_{3} \end {array}\right ] \]

14509

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{1}+y_{2}+2 y_{3} \\ y_{2}^{\prime }=y_{1}+y_{2}+2 y_{3} \\ y_{3}^{\prime }=2 y_{1}+2 y_{2}+4 y_{3} \end {array}\right ] \]

14510

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}+y_{2} \\ y_{2}^{\prime }=-y_{1}+2 y_{2} \\ y_{3}^{\prime }=3 y_{3}-4 y_{4} \\ y_{4}^{\prime }=4 y_{3}+3 y_{4} \end {array}\right ] \]

14511

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2} \\ y_{2}^{\prime }=-3 y_{1}+2 y_{3} \\ y_{3}^{\prime }=y_{4} \\ y_{4}^{\prime }=2 y_{1}-5 y_{3} \end {array}\right ] \]

14512

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=3 y_{1}+2 y_{2} \\ y_{2}^{\prime }=3 y_{2}-2 y_{1} \\ y_{3}^{\prime }=y_{3} \\ y_{4}^{\prime }=2 y_{4} \end {array}\right ] \]

14513

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2}+y_{4} \\ y_{2}^{\prime }=y_{1}-y_{3} \\ y_{3}^{\prime }=y_{4} \\ y_{4}^{\prime }=y_{3} \end {array}\right ] \]

14514

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+3 y \\ y^{\prime }=-x+2 y \end {array}\right ] \]

14515

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=-2 x+3 y \end {array}\right ] \]

14516

\[ {}\left [\begin {array}{c} x^{\prime }=-x-2 y \\ y^{\prime }=2 x-3 y \end {array}\right ] \]

14517

\[ {}\left [\begin {array}{c} x^{\prime }=-x-2 y \\ y^{\prime }=5 x+y \end {array}\right ] \]

14518

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=-2 x-y \end {array}\right ] \]

14519

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

14520

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x-y+2 \\ y^{\prime }=3 x-y-3 \end {array}\right ] \]

14521

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y-6 \\ y^{\prime }=4 x-y+2 \end {array}\right ] \]

14718

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=x-y \end {array}\right ] \]

14719

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=0 \end {array}\right ] \]

14720

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=2 x+y \end {array}\right ] \]

14721

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=2 x-y \end {array}\right ] \]

14722

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=x+y \end {array}\right ] \]

14723

\[ {}\left [\begin {array}{c} x^{\prime }=3 y \\ y^{\prime }=3 \pi y-\frac {x}{3} \end {array}\right ] \]

14724

\[ {}\left [\begin {array}{c} p^{\prime }=3 p-2 q-7 r \\ q^{\prime }=-2 p+6 r \\ r^{\prime }=\frac {73 q}{100}+2 r \end {array}\right ] \]

14725

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+2 \pi y \\ y^{\prime }=4 x-y \end {array}\right ] \]

14726

\[ {}\left [\begin {array}{c} x^{\prime }=\beta y \\ y^{\prime }=\gamma x-y \end {array}\right ] \]

14727

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=x+y \end {array}\right ] \]
i.c.

14728

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=x+3 y \end {array}\right ] \]
i.c.

14729

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-y \\ y^{\prime }=2 x-5 y \end {array}\right ] \]
i.c.

14730

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-3 y \\ y^{\prime }=3 x-2 y \end {array}\right ] \]
i.c.

14731

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+3 y \\ y^{\prime }=x \end {array}\right ] \]
i.c.

14732

\[ {}\left [\begin {array}{c} x^{\prime }=1 \\ y^{\prime }=x \end {array}\right ] \]

14733

\[ {}\left [\begin {array}{c} x^{\prime }=3 x \\ y^{\prime }=-2 y \end {array}\right ] \]

14734

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x-2 y \\ y^{\prime }=-x-3 y \end {array}\right ] \]

14735

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x-2 y \\ y^{\prime }=-x-4 y \end {array}\right ] \]

14736

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=-x+4 y \end {array}\right ] \]

14737

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {x}{2} \\ y^{\prime }=x-\frac {y}{2} \end {array}\right ] \]

14738

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+4 y \\ y^{\prime }=9 x \end {array}\right ] \]

14739

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+4 y \\ y^{\prime }=x \end {array}\right ] \]

14740

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=y-x \end {array}\right ] \]

14741

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=x+y \end {array}\right ] \]

14742

\[ {}\left [\begin {array}{c} x^{\prime }=-x-2 y \\ y^{\prime }=x-4 y \end {array}\right ] \]

14743

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-2 y \\ y^{\prime }=-2 x+y \end {array}\right ] \]
i.c.

14744

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-2 y \\ y^{\prime }=-2 x+y \end {array}\right ] \]
i.c.

14745

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-2 y \\ y^{\prime }=-2 x+y \end {array}\right ] \]
i.c.

14746

\[ {}\left [\begin {array}{c} x^{\prime }=3 x \\ y^{\prime }=x-2 y \end {array}\right ] \]
i.c.

14747

\[ {}\left [\begin {array}{c} x^{\prime }=3 x \\ y^{\prime }=x-2 y \end {array}\right ] \]
i.c.

14748

\[ {}\left [\begin {array}{c} x^{\prime }=3 x \\ y^{\prime }=x-2 y \end {array}\right ] \]
i.c.

14749

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+y \\ y^{\prime }=2 x-3 y \end {array}\right ] \]
i.c.

14750

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+y \\ y^{\prime }=2 x-3 y \end {array}\right ] \]
i.c.

14751

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+y \\ y^{\prime }=2 x-3 y \end {array}\right ] \]
i.c.

14752

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=x+y \end {array}\right ] \]
i.c.

14753

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=x+y \end {array}\right ] \]
i.c.

14754

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=x+y \end {array}\right ] \]
i.c.

14755

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-2 x \end {array}\right ] \]
i.c.

14756

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+2 y \\ y^{\prime }=-4 x+6 y \end {array}\right ] \]
i.c.

14757

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-5 y \\ y^{\prime }=3 x+y \end {array}\right ] \]
i.c.

14758

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-2 x-y \end {array}\right ] \]
i.c.

14759

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-6 y \\ y^{\prime }=2 x+y \end {array}\right ] \]
i.c.

14760

\[ {}\left [\begin {array}{c} x^{\prime }=x+4 y \\ y^{\prime }=-3 x+2 y \end {array}\right ] \]
i.c.

14761

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-2 x \end {array}\right ] \]
i.c.

14762

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+2 y \\ y^{\prime }=-4 x+6 y \end {array}\right ] \]
i.c.

14763

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-5 y \\ y^{\prime }=3 x+y \end {array}\right ] \]
i.c.

14764

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-2 x-y \end {array}\right ] \]
i.c.

14765

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-6 y \\ y^{\prime }=2 x+y \end {array}\right ] \]
i.c.

14766

\[ {}\left [\begin {array}{c} x^{\prime }=x+4 y \\ y^{\prime }=-3 x+2 y \end {array}\right ] \]
i.c.

14767

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {9 x}{10}-2 y \\ y^{\prime }=x+\frac {11 y}{10} \end {array}\right ] \]
i.c.

14768

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+10 y \\ y^{\prime }=-x+3 y \end {array}\right ] \]

14769

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x \\ y^{\prime }=x-3 y \end {array}\right ] \]
i.c.

14770

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=-x-2 y \end {array}\right ] \]
i.c.

14771

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-y \\ y^{\prime }=x-4 y \end {array}\right ] \]
i.c.

14772

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x-2 y \end {array}\right ] \]
i.c.

14773

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x \\ y^{\prime }=x-3 y \end {array}\right ] \]
i.c.

14774

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=-x+4 y \end {array}\right ] \]
i.c.

14775

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x-y \\ y^{\prime }=x-4 y \end {array}\right ] \]
i.c.

14776

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x-2 y \end {array}\right ] \]
i.c.

14777

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-y \end {array}\right ] \]
i.c.

14778

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+4 y \\ y^{\prime }=3 x+6 y \end {array}\right ] \]
i.c.

14779

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+2 y \\ y^{\prime }=2 x+y \end {array}\right ] \]
i.c.

14780

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=0 \end {array}\right ] \]

14781

\[ {}\left [\begin {array}{c} x^{\prime }=-2 y \\ y^{\prime }=0 \end {array}\right ] \]

14782

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-y \\ y^{\prime }=4 x+y \end {array}\right ] \]
i.c.

14785

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {y}{10} \\ y^{\prime }=\frac {z}{5} \\ z^{\prime }=\frac {2 x}{5} \end {array}\right ] \]

14786

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x \\ z^{\prime }=2 z \end {array}\right ] \]

14787

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+3 y \\ y^{\prime }=3 x-2 y \\ z^{\prime }=-z \end {array}\right ] \]

14788

\[ {}\left [\begin {array}{c} x^{\prime }=x+3 z \\ y^{\prime }=-y \\ z^{\prime }=-3 x+z \end {array}\right ] \]

14789

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=2 y-z \\ z^{\prime }=-y+2 z \end {array}\right ] \]

14790

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y \\ y^{\prime }=-2 y \\ z^{\prime }=-z \end {array}\right ] \]

14791

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y \\ y^{\prime }=-2 y \\ z^{\prime }=z \end {array}\right ] \]

14792

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=2 x-4 y \\ z^{\prime }=-z \end {array}\right ] \]

14793

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=2 x-4 y \\ z^{\prime }=0 \end {array}\right ] \]

14794

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y \\ y^{\prime }=-2 y+z \\ z^{\prime }=-2 z \end {array}\right ] \]

14795

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=z \\ z^{\prime }=0 \end {array}\right ] \]

14796

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=-2 y+3 z \\ z^{\prime }=-x+3 y-z \end {array}\right ] \]

14797

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+3 y \\ y^{\prime }=z-y \\ z^{\prime }=5 x-5 y \end {array}\right ] \]

14798

\[ {}\left [\begin {array}{c} x^{\prime }=-10 x+10 y \\ y^{\prime }=28 x-y \\ z^{\prime }=-\frac {8 z}{3} \end {array}\right ] \]

14799

\[ {}\left [\begin {array}{c} x^{\prime }=z-y \\ y^{\prime }=z-x \\ z^{\prime }=z \end {array}\right ] \]

14802

\[ {}\left [\begin {array}{c} x^{\prime }=3 x \\ y^{\prime }=-2 y \end {array}\right ] \]

14804

\[ {}\left [\begin {array}{c} x^{\prime }=0 \\ y^{\prime }=x-y \end {array}\right ] \]

14805

\[ {}\left [\begin {array}{c} x^{\prime }=\pi ^{2} x+\frac {187 y}{5} \\ y^{\prime }=\sqrt {555}\, x+\frac {400617 y}{5000} \end {array}\right ] \]
i.c.

14806

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=-2 x-y \end {array}\right ] \]

14807

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+y \\ y^{\prime }=y-x \end {array}\right ] \]

14808

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+y \\ y^{\prime }=-x \end {array}\right ] \]

14809

\[ {}\left [\begin {array}{c} x^{\prime }=y-x \\ y^{\prime }=-2 x+y \end {array}\right ] \]

14810

\[ {}\left [\begin {array}{c} x^{\prime }=2 x \\ y^{\prime }=x-y \end {array}\right ] \]

14811

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+y \\ y^{\prime }=-x \end {array}\right ] \]

14812

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-4 x-4 y \end {array}\right ] \]

14813

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x-3 y \\ y^{\prime }=2 x+y \end {array}\right ] \]

15678

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=1-2 x \end {array}\right ] \]

15679

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-3 y \\ y^{\prime }=6 x-7 y \end {array}\right ] \]

15680

\[ {}\left [\begin {array}{c} t x^{\prime }+2 x=15 y \\ t y^{\prime }=x \end {array}\right ] \]

15681

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=5 x-2 y \end {array}\right ] \]
i.c.

15682

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+4 y \\ y^{\prime }=8 x+y \end {array}\right ] \]
i.c.

15683

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+2 y \\ y^{\prime }=3 x-y \end {array}\right ] \]
i.c.

15684

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=5 x-2 y \end {array}\right ] \]
i.c.

15685

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=2 x \end {array}\right ] \]

15686

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-2 x \end {array}\right ] \]

15687

\[ {}\left [\begin {array}{c} x^{\prime }=-2 y \\ y^{\prime }=8 x \end {array}\right ] \]

15688

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-13 y \\ y^{\prime }=x \end {array}\right ] \]
i.c.

15689

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+2 y \\ y^{\prime }=-2 x+3 y \end {array}\right ] \]
i.c.

15690

\[ {}\left [\begin {array}{c} x^{\prime }=8 x+2 y-17 \\ y^{\prime }=4 x+y-13 \end {array}\right ] \]
i.c.

15691

\[ {}\left [\begin {array}{c} x^{\prime }=8 x+2 y+7 \,{\mathrm e}^{2 t} \\ y^{\prime }=4 x+y-7 \,{\mathrm e}^{2 t} \end {array}\right ] \]
i.c.

15692

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+3 y-6 \,{\mathrm e}^{3 t} \\ y^{\prime }=x+6 y+2 \,{\mathrm e}^{3 t} \end {array}\right ] \]
i.c.

15693

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=4 x+24 t \end {array}\right ] \]
i.c.

15694

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-13 y \\ y^{\prime }=x+19 \cos \left (4 t \right )-13 \sin \left (4 t \right ) \end {array}\right ] \]
i.c.

15695

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+3 y+5 \operatorname {Heaviside}\left (t -2\right ) \\ y^{\prime }=x+6 y+17 \operatorname {Heaviside}\left (t -2\right ) \end {array}\right ] \]
i.c.

15696

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+4 y \\ y^{\prime }=8 x+y \end {array}\right ] \]

15697

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-5 y \\ y^{\prime }=3 x-7 y \end {array}\right ] \]

15698

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-5 y+4 \\ y^{\prime }=3 x-7 y+5 \end {array}\right ] \]

15699

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+y \\ y^{\prime }=6 x+2 y \end {array}\right ] \]

15700

\[ {}\left [\begin {array}{c} x^{\prime }=x y-6 y \\ y^{\prime }=x-y-5 \end {array}\right ] \]

15701

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=2 x-y \end {array}\right ] \]

15757

\[ {}\left [\begin {array}{c} x^{\prime }=4 y \\ y^{\prime }=-x-2 y \end {array}\right ] \]

15761

\[ {}\left [\begin {array}{c} x^{\prime }=4 y \\ y^{\prime }=-4 x \end {array}\right ] \]
i.c.

15762

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x+4 y \\ y^{\prime }=2 x+2 y \end {array}\right ] \]
i.c.

16569

\[ {}\left [\begin {array}{c} x^{\prime }=6 \\ y^{\prime }=\cos \left (t \right ) \end {array}\right ] \]

16570

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=1 \end {array}\right ] \]

16571

\[ {}\left [\begin {array}{c} x^{\prime }=0 \\ y^{\prime }=-2 y \end {array}\right ] \]

16572

\[ {}\left [\begin {array}{c} x^{\prime }=x^{2} \\ y^{\prime }={\mathrm e}^{t} \end {array}\right ] \]

16573

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1} \\ x_{2}^{\prime }=1 \end {array}\right ] \]
i.c.

16574

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}+1 \\ x_{2}^{\prime }=x_{2} \end {array}\right ] \]
i.c.

16575

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+6 y \\ y^{\prime }=4 x-y \end {array}\right ] \]

16576

\[ {}\left [\begin {array}{c} x^{\prime }=8 x-y \\ y^{\prime }=x+6 y \end {array}\right ] \]

16577

\[ {}\left [\begin {array}{c} x^{\prime }=-x-2 y \\ y^{\prime }=x+y \end {array}\right ] \]

16578

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+2 y \\ y^{\prime }=-x+2 y \end {array}\right ] \]

16579

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x+1 \end {array}\right ] \]

16580

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x+\sin \left (2 t \right ) \end {array}\right ] \]

17150

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 t x_{1}^{2} \\ x_{2}^{\prime }=\frac {x_{2}+t}{t} \end {array}\right ] \]

17151

\[ {}\left [\begin {array}{c} x_{1}^{\prime }={\mathrm e}^{t -x_{1}} \\ x_{2}^{\prime }=2 \,{\mathrm e}^{x_{1}} \end {array}\right ] \]

17152

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=\frac {y^{2}}{x} \end {array}\right ] \]

17153

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {x_{1}^{2}}{x_{2}} \\ x_{2}^{\prime }=x_{2}-x_{1} \end {array}\right ] \]

17154

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {{\mathrm e}^{-x}}{t} \\ y^{\prime }=\frac {x \,{\mathrm e}^{-y}}{t} \end {array}\right ] \]

17155

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {y+t}{x+y} \\ y^{\prime }=\frac {x-t}{x+y} \end {array}\right ] \]

17156

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {-y+t}{y-x} \\ y^{\prime }=\frac {x-t}{y-x} \end {array}\right ] \]

17157

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {y+t}{x+y} \\ y^{\prime }=\frac {t +x}{x+y} \end {array}\right ] \]

17158

\[ {}\left [\begin {array}{c} x^{\prime }=-9 y \\ y^{\prime }=x \end {array}\right ] \]

17159

\[ {}\left [\begin {array}{c} x^{\prime }=y+t \\ y^{\prime }=x-t \end {array}\right ] \]

17160

\[ {}\left [\begin {array}{c} x^{\prime }+3 x+4 y=0 \\ y^{\prime }+2 x+5 y=0 \end {array}\right ] \]
i.c.

17161

\[ {}\left [\begin {array}{c} x^{\prime }=x+5 y \\ y^{\prime }=-x-3 y \end {array}\right ] \]
i.c.

17162

\[ {}\left [\begin {array}{c} 4 x^{\prime }-y^{\prime }+3 x=\sin \left (t \right ) \\ x^{\prime }+y=\cos \left (t \right ) \end {array}\right ] \]

17163

\[ {}\left [\begin {array}{c} x^{\prime }=z-y \\ y^{\prime }=z \\ z^{\prime }=z-x \end {array}\right ] \]

17164

\[ {}\left [\begin {array}{c} x^{\prime }=y+z \\ y^{\prime }=x+z \\ z^{\prime }=x+y \end {array}\right ] \]

17165

\[ {}\left [\begin {array}{c} x^{\prime \prime }=y \\ y^{\prime \prime }=x \end {array}\right ] \]

17166

\[ {}\left [\begin {array}{c} x^{\prime \prime }+y^{\prime }+x=0 \\ x^{\prime }+y^{\prime \prime }=0 \end {array}\right ] \]

17167

\[ {}\left [\begin {array}{c} x^{\prime \prime }=3 x+y \\ y^{\prime }=-2 x \end {array}\right ] \]

17168

\[ {}\left [\begin {array}{c} x^{\prime \prime }=x^{2}+y \\ y^{\prime }=-2 x x^{\prime }+x \end {array}\right ] \]
i.c.

17169

\[ {}\left [\begin {array}{c} x^{\prime }=x^{2}+y^{2} \\ y^{\prime }=2 x y \end {array}\right ] \]

17170

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {1}{y} \\ y^{\prime }=\frac {1}{x} \end {array}\right ] \]

17171

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {x}{y} \\ y^{\prime }=\frac {y}{x} \end {array}\right ] \]

17172

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {y}{x-y} \\ y^{\prime }=\frac {x}{x-y} \end {array}\right ] \]

17173

\[ {}\left [\begin {array}{c} x^{\prime }=\sin \left (x\right ) \cos \left (y\right ) \\ y^{\prime }=\cos \left (x\right ) \sin \left (y\right ) \end {array}\right ] \]

17174

\[ {}\left [\begin {array}{c} {\mathrm e}^{t} x^{\prime }=\frac {1}{y} \\ {\mathrm e}^{t} y^{\prime }=\frac {1}{x} \end {array}\right ] \]

17175

\[ {}\left [\begin {array}{c} x^{\prime }=\cos \left (x\right )^{2} \cos \left (y\right )^{2}+\sin \left (x\right )^{2} \cos \left (y\right )^{2} \\ y^{\prime }=-\frac {\sin \left (2 x\right ) \sin \left (2 y\right )}{2} \end {array}\right ] \]
i.c.

17176

\[ {}\left [\begin {array}{c} x^{\prime }=8 y-x \\ y^{\prime }=x+y \end {array}\right ] \]

17177

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=y-x \end {array}\right ] \]

17178

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=x-3 y \end {array}\right ] \]
i.c.

17179

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=-2 x+4 y \end {array}\right ] \]
i.c.

17180

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-5 y \\ y^{\prime }=x \end {array}\right ] \]
i.c.

17181

\[ {}\left [\begin {array}{c} x^{\prime }=y+z-x \\ y^{\prime }=x-y+z \\ z^{\prime }=x+y-z \end {array}\right ] \]

17182

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y+z \\ y^{\prime }=x+2 y-z \\ z^{\prime }=x-y+2 z \end {array}\right ] \]

17183

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y+z \\ y^{\prime }=x+z \\ z^{\prime }=y-2 z-3 x \end {array}\right ] \]
i.c.

17184

\[ {}\left [\begin {array}{c} x^{\prime }+2 x-y=-{\mathrm e}^{2 t} \\ y^{\prime }+3 x-2 y=6 \,{\mathrm e}^{2 t} \end {array}\right ] \]

17185

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-\cos \left (t \right ) \\ y^{\prime }=-y-2 x+\cos \left (t \right )+\sin \left (t \right ) \end {array}\right ] \]
i.c.

17186

\[ {}\left [\begin {array}{c} x^{\prime }=y+\tan \left (t \right )^{2}-1 \\ y^{\prime }=\tan \left (t \right )-x \end {array}\right ] \]

17187

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x-2 y+\frac {2}{{\mathrm e}^{t}-1} \\ y^{\prime }=6 x+3 y-\frac {3}{{\mathrm e}^{t}-1} \end {array}\right ] \]

17188

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x+\frac {1}{\cos \left (t \right )} \end {array}\right ] \]

17189

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x+1 \end {array}\right ] \]

17190

\[ {}\left [\begin {array}{c} x^{\prime }=3-2 y \\ y^{\prime }=2 x-2 t \end {array}\right ] \]

17191

\[ {}\left [\begin {array}{c} x^{\prime }=-y+\sin \left (t \right ) \\ y^{\prime }=x+\cos \left (t \right ) \end {array}\right ] \]

17192

\[ {}\left [\begin {array}{c} x^{\prime }=x+y+{\mathrm e}^{t} \\ y^{\prime }=x+y-{\mathrm e}^{t} \end {array}\right ] \]

17193

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-5 y+4 t -1 \\ y^{\prime }=x-2 y+t \end {array}\right ] \]
i.c.

17194

\[ {}\left [\begin {array}{c} x^{\prime }=y-x+{\mathrm e}^{t} \\ y^{\prime }=x-y+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

17195

\[ {}\left [\begin {array}{c} x^{\prime }+y=t^{2} \\ -x+y^{\prime }=t \end {array}\right ] \]

17196

\[ {}\left [\begin {array}{c} x^{\prime }+y^{\prime }+y={\mathrm e}^{-t} \\ 2 x^{\prime }+y^{\prime }+2 y=\sin \left (t \right ) \end {array}\right ] \]

17197

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y-2 z+2-t \\ y^{\prime }=-x+1 \\ z^{\prime }=x+y-z+1-t \end {array}\right ] \]

17198

\[ {}\left [\begin {array}{c} x^{\prime }+x+2 y=2 \,{\mathrm e}^{-t} \\ y^{\prime }+y+z=1 \\ z^{\prime }+z=1 \end {array}\right ] \]
i.c.

17199

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+4 y \\ y^{\prime }=x+2 y \end {array}\right ] \]

17200

\[ {}\left [\begin {array}{c} x^{\prime }=6 x+y \\ y^{\prime }=4 x+3 y \end {array}\right ] \]

17201

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-4 y+1 \\ y^{\prime }=-x+5 y \end {array}\right ] \]

17202

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+y+{\mathrm e}^{t} \\ y^{\prime }=x+3 y-{\mathrm e}^{t} \end {array}\right ] \]

17203

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+4 y+\cos \left (t \right ) \\ y^{\prime }=-x-2 y+\sin \left (t \right ) \end {array}\right ] \]

17377

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=x+4 \end {array}\right ] \]

17378

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y+\sin \left (t \right ) \\ y^{\prime }=-x+y-\cos \left (t \right ) \end {array}\right ] \]

17379

\[ {}\left [\begin {array}{c} x^{\prime }=-2 t x+y \\ y^{\prime }=3 x-y \end {array}\right ] \]

17380

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y+4 \\ y^{\prime }=-2 x+y-3 \end {array}\right ] \]

17381

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-y \\ y^{\prime }=x+2 y \end {array}\right ] \]

17382

\[ {}\left [\begin {array}{c} x^{\prime }=-x+t y \\ y^{\prime }=t x-y \end {array}\right ] \]

17383

\[ {}\left [\begin {array}{c} x^{\prime }=x+y+4 \\ y^{\prime }=-2 x+\sin \left (t \right ) y \end {array}\right ] \]

17384

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-4 y \\ y^{\prime }=x+3 y \end {array}\right ] \]

17385

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=3 x-2 y \end {array}\right ] \]

17386

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=-2 x-y \end {array}\right ] \]

17387

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=-x+2 \sin \left (t \right ) \end {array}\right ] \]
i.c.

17388

\[ {}\left [\begin {array}{c} x^{\prime }=x-4 y+2 t \\ y^{\prime }=x-3 y-3 \end {array}\right ] \]
i.c.

17389

\[ {}\left [\begin {array}{c} x^{\prime }=-x+y+1 \\ y^{\prime }=x+y-3 \end {array}\right ] \]

17390

\[ {}\left [\begin {array}{c} x^{\prime }=-x-4 y-4 \\ y^{\prime }=x-y-6 \end {array}\right ] \]

17391

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {x}{4}-\frac {3 y}{4}+8 \\ y^{\prime }=\frac {x}{2}+y-\frac {23}{2} \end {array}\right ] \]

17392

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y-11 \\ y^{\prime }=-5 x+4 y-35 \end {array}\right ] \]

17393

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-3 \\ y^{\prime }=-x+y+1 \end {array}\right ] \]

17394

\[ {}\left [\begin {array}{c} x^{\prime }=-5 x+4 y-35 \\ y^{\prime }=-2 x+y-11 \end {array}\right ] \]

17395

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y \\ y^{\prime }=2 x-2 y \end {array}\right ] \]

17396

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=3 x-4 y \end {array}\right ] \]

17397

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=3 x-2 y \end {array}\right ] \]

17398

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=4 x-2 y \end {array}\right ] \]

17399

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-3 y \\ y^{\prime }=8 x-6 y \end {array}\right ] \]

17400

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y \\ y^{\prime }=x-2 y \end {array}\right ] \]

17401

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {5 x}{4}+\frac {3 y}{4} \\ y^{\prime }=\frac {3 x}{4}+\frac {5 y}{4} \end {array}\right ] \]

17402

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {3 x}{4}-\frac {7 y}{4} \\ y^{\prime }=\frac {x}{4}+\frac {5 y}{4} \end {array}\right ] \]

17403

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {x}{4}-\frac {3 y}{4} \\ y^{\prime }=\frac {x}{2}+y \end {array}\right ] \]

17404

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-y \\ y^{\prime }=3 x+y \end {array}\right ] \]

17405

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y \\ y^{\prime }=-5 x+4 y \end {array}\right ] \]

17406

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+6 y \\ y^{\prime }=-x-2 y \end {array}\right ] \]

17407

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=3 x-4 y \end {array}\right ] \]
i.c.

17408

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=3 x-2 y \end {array}\right ] \]
i.c.

17409

\[ {}\left [\begin {array}{c} x^{\prime }=5 x-y \\ y^{\prime }=3 x+y \end {array}\right ] \]
i.c.

17410

\[ {}\left [\begin {array}{c} x^{\prime }=-2 x+y \\ y^{\prime }=-5 x+4 y \end {array}\right ] \]
i.c.

17411

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-2 y \\ y^{\prime }=4 x-y \end {array}\right ] \]

17412

\[ {}\left [\begin {array}{c} x^{\prime }=-x-4 y \\ y^{\prime }=x-y \end {array}\right ] \]

17413

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-5 y \\ y^{\prime }=x-2 y \end {array}\right ] \]

17414

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-\frac {5 y}{2} \\ y^{\prime }=\frac {9 x}{5}-y \end {array}\right ] \]

17415

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=5 x-3 y \end {array}\right ] \]

17416

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=-5 x-y \end {array}\right ] \]

17417

\[ {}\left [\begin {array}{c} x^{\prime }=-x-4 y \\ y^{\prime }=x-y \end {array}\right ] \]
i.c.

17418

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-5 y \\ y^{\prime }=x-2 y \end {array}\right ] \]
i.c.

17419

\[ {}\left [\begin {array}{c} x^{\prime }=x-5 y \\ y^{\prime }=x-3 y \end {array}\right ] \]
i.c.

17420

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+2 y \\ y^{\prime }=-x-y \end {array}\right ] \]
i.c.

17421

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {3 x}{4}-2 y \\ y^{\prime }=x-\frac {5 y}{4} \end {array}\right ] \]

17422

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {4 x}{5}+2 y \\ y^{\prime }=-x+\frac {6 y}{5} \end {array}\right ] \]

17423

\[ {}\left [\begin {array}{c} x^{\prime }=a x+y \\ y^{\prime }=-x+a y \end {array}\right ] \]

17424

\[ {}\left [\begin {array}{c} x^{\prime }=-5 y \\ y^{\prime }=x+a y \end {array}\right ] \]

17425

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-5 y \\ y^{\prime }=a x-2 y \end {array}\right ] \]

17426

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {5 x}{4}+\frac {3 y}{4} \\ y^{\prime }=a x+\frac {5 y}{4} \end {array}\right ] \]

17427

\[ {}\left [\begin {array}{c} x^{\prime }=-x+a y \\ y^{\prime }=-x-y \end {array}\right ] \]

17428

\[ {}\left [\begin {array}{c} x^{\prime }=3 x+a y \\ y^{\prime }=-6 x-4 y \end {array}\right ] \]

17429

\[ {}\left [\begin {array}{c} x^{\prime }=a x+10 y \\ y^{\prime }=-x-4 y \end {array}\right ] \]

17430

\[ {}\left [\begin {array}{c} x^{\prime }=4 x+a y \\ y^{\prime }=8 x-6 y \end {array}\right ] \]

17431

\[ {}\left [\begin {array}{c} i^{\prime }=\frac {i}{2}-\frac {v}{8} \\ v^{\prime }=2 i-\frac {v}{2} \end {array}\right ] \]

17432

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-4 y \\ y^{\prime }=x-y \end {array}\right ] \]

17433

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {5 x}{4}+\frac {3 y}{4} \\ y^{\prime }=-\frac {3 x}{4}-\frac {y}{4} \end {array}\right ] \]

17434

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {3 x}{2}+y \\ y^{\prime }=-\frac {x}{4}-\frac {y}{2} \end {array}\right ] \]

17435

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+\frac {5 y}{2} \\ y^{\prime }=-\frac {5 x}{2}+2 y \end {array}\right ] \]

17436

\[ {}\left [\begin {array}{c} x^{\prime }=-x-\frac {y}{2} \\ y^{\prime }=2 x-3 y \end {array}\right ] \]

17437

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+\frac {y}{2} \\ y^{\prime }=-\frac {x}{2}+y \end {array}\right ] \]

17438

\[ {}\left [\begin {array}{c} x^{\prime }=x-4 y \\ y^{\prime }=4 x-7 y \end {array}\right ] \]
i.c.

17439

\[ {}\left [\begin {array}{c} x^{\prime }=-\frac {5 x}{2}+\frac {3 y}{2} \\ y^{\prime }=-\frac {3 x}{2}+\frac {y}{2} \end {array}\right ] \]
i.c.

17440

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+\frac {3 y}{2} \\ y^{\prime }=-\frac {3 x}{2}-y \end {array}\right ] \]
i.c.

17441

\[ {}\left [\begin {array}{c} x^{\prime }=\frac {5 x}{4}+\frac {3 y}{4} \\ y^{\prime }=-\frac {3 x}{4}-\frac {y}{4} \end {array}\right ] \]
i.c.

17442

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+\frac {5 y}{2} \\ y^{\prime }=-\frac {5 x}{2}+2 y \end {array}\right ] \]
i.c.

17443

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+\frac {y}{2} \\ y^{\prime }=-\frac {x}{2}+y \end {array}\right ] \]
i.c.

17444

\[ {}\left [\begin {array}{c} x^{\prime }=-x \\ y^{\prime }=-2 y \end {array}\right ] \]
i.c.

17445

\[ {}\left [\begin {array}{c} x^{\prime }=-x \\ y^{\prime }=2 y \end {array}\right ] \]
i.c.

17446

\[ {}\left [\begin {array}{c} x^{\prime }=-x \\ y^{\prime }=-2 y \end {array}\right ] \]
i.c.

17447

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=8 x \end {array}\right ] \]
i.c.

17448

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=8 x \end {array}\right ] \]
i.c.

17449

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \\ y^{\prime }=-8 x \end {array}\right ] \]
i.c.

17450

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=x-2 y \end {array}\right ] \]

17451

\[ {}\left [\begin {array}{c} x^{\prime }=y-x \\ y^{\prime }=x+y \end {array}\right ] \]

17452

\[ {}\left [\begin {array}{c} x^{\prime }=2 x-4 y \\ y^{\prime }=2 x-2 y \end {array}\right ] \]

17453

\[ {}\left [\begin {array}{c} x^{\prime }=-x+y+x^{2} \\ y^{\prime }=y-2 x y \end {array}\right ] \]

17454

\[ {}\left [\begin {array}{c} x^{\prime }=2 y \,x^{2}-3 x^{2}-4 y \\ y^{\prime }=-2 x \,y^{2}+6 x y \end {array}\right ] \]

17455

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-x^{2} \\ y^{\prime }=2 x y-3 y+2 \end {array}\right ] \]

17456

\[ {}\left [\begin {array}{c} x^{\prime }=x-x y \\ y^{\prime }=y+2 x y \end {array}\right ] \]

17457

\[ {}\left [\begin {array}{c} x^{\prime }=2-y \\ y^{\prime }=y-x^{2} \end {array}\right ] \]

17458

\[ {}\left [\begin {array}{c} x^{\prime }=x-x^{2}-x y \\ y^{\prime }=\frac {y}{2}-\frac {y^{2}}{4}-\frac {3 x y}{4} \end {array}\right ] \]

17459

\[ {}\left [\begin {array}{c} x^{\prime }=-\left (x-y\right ) \left (1-x-y\right ) \\ y^{\prime }=x \left (2+y\right ) \end {array}\right ] \]

17460

\[ {}\left [\begin {array}{c} x^{\prime }=y \left (2-x-y\right ) \\ y^{\prime }=-x-y-2 x y \end {array}\right ] \]

17461

\[ {}\left [\begin {array}{c} x^{\prime }=\left (x+2\right ) \left (y-x\right ) \\ y^{\prime }=y-x^{2}-y^{2} \end {array}\right ] \]

17462

\[ {}\left [\begin {array}{c} x^{\prime }=-x+2 x y \\ y^{\prime }=y-x^{2}-y^{2} \end {array}\right ] \]

17463

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=x-\frac {x^{3}}{5}-\frac {y}{5} \end {array}\right ] \]

17465

\[ {}\left [\begin {array}{c} x^{\prime }=x \left (1-x-y\right ) \\ y^{\prime }=y \left (\frac {3}{4}-y-\frac {x}{2}\right ) \end {array}\right ] \]

17659

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-5 y_{1}+y_{2} \\ y_{2}^{\prime }=-9 y_{1}+5 y_{2} \end {array}\right ] \]
i.c.

17660

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=5 y_{1}-2 y_{2} \\ y_{2}^{\prime }=6 y_{1}-2 y_{2} \end {array}\right ] \]
i.c.

17661

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=4 y_{1}-4 y_{2} \\ y_{2}^{\prime }=5 y_{1}-4 y_{2} \end {array}\right ] \]
i.c.

17662

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=6 y_{2} \\ y_{2}^{\prime }=-6 y_{1} \end {array}\right ] \]
i.c.

17663

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-4 y_{1}-y_{2} \\ y_{2}^{\prime }=y_{1}-2 y_{2} \end {array}\right ] \]
i.c.

17664

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=2 y_{1}-64 y_{2} \\ y_{2}^{\prime }=y_{1}-14 y_{2} \end {array}\right ] \]
i.c.

17665

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-4 y_{1}-y_{2}+2 \,{\mathrm e}^{t} \\ y_{2}^{\prime }=y_{1}-2 y_{2}+\sin \left (2 t \right ) \end {array}\right ] \]
i.c.

17666

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=5 y_{1}-y_{2}+{\mathrm e}^{-t} \\ y_{2}^{\prime }=y_{1}+3 y_{2}+2 \,{\mathrm e}^{t} \end {array}\right ] \]
i.c.

17667

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-y_{1}-5 y_{2}+3 \\ y_{2}^{\prime }=y_{1}+3 y_{2}+5 \cos \left (t \right ) \end {array}\right ] \]
i.c.

17668

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=-2 y_{1}+y_{2} \\ y_{2}^{\prime }=y_{1}-2 y_{2}+\sin \left (t \right ) \end {array}\right ] \]
i.c.

17669

\[ {}\left [\begin {array}{c} y_{1}^{\prime }=y_{2}-y_{3} \\ y_{2}^{\prime }=y_{1}+y_{3}-{\mathrm e}^{-t} \\ y_{3}^{\prime }=y_{1}+y_{2}+{\mathrm e}^{t} \end {array}\right ] \]
i.c.

17713

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-x_{2}+x_{3} \end {array}\right ] \]

17714

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}+4 x_{3} \\ x_{2}^{\prime }=3 x_{1}+2 x_{2}-x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}-x_{3} \end {array}\right ] \]

17727

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}+x_{3} \\ x_{2}^{\prime }=x_{1}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2} \end {array}\right ] \]

17728

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}+4 x_{3} \\ x_{2}^{\prime }=2 x_{1}+2 x_{3} \\ x_{3}^{\prime }=4 x_{1}+2 x_{2}+3 x_{3} \end {array}\right ] \]

17735

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}+x_{2} \\ x_{2}^{\prime }=x_{1}-5 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{2}-4 x_{3} \end {array}\right ] \]

17736

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+4 x_{2}+4 x_{3} \\ x_{2}^{\prime }=3 x_{2}+2 x_{3} \\ x_{3}^{\prime }=2 x_{2}+3 x_{3} \end {array}\right ] \]

17737

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-4 x_{2}+2 x_{3} \\ x_{2}^{\prime }=-4 x_{1}+2 x_{2}-2 x_{3} \\ x_{3}^{\prime }=2 x_{1}-2 x_{2}-x_{3} \end {array}\right ] \]

17738

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+2 x_{2}-x_{3} \\ x_{2}^{\prime }=-2 x_{1}+3 x_{2}-2 x_{3} \\ x_{3}^{\prime }=-2 x_{1}+4 x_{2}-3 x_{3} \end {array}\right ] \]

17739

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+6 x_{3} \\ x_{2}^{\prime }=x_{1}+6 x_{2}+x_{3} \\ x_{3}^{\prime }=6 x_{1}+x_{2}+x_{3} \end {array}\right ] \]

17740

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}+2 x_{2}+4 x_{3} \\ x_{2}^{\prime }=2 x_{1}+2 x_{3} \\ x_{3}^{\prime }=4 x_{1}+2 x_{2}+3 x_{3} \end {array}\right ] \]

17741

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-8 x_{1}-5 x_{2}-3 x_{3} \end {array}\right ] \]

17742

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}+4 x_{3} \\ x_{2}^{\prime }=3 x_{1}+2 x_{2}-x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}-x_{3} \end {array}\right ] \]

17743

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+2 x_{3} \\ x_{2}^{\prime }=2 x_{2}+2 x_{3} \\ x_{3}^{\prime }=-x_{1}+x_{2}+3 x_{3} \end {array}\right ] \]
i.c.

17744

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{3} \\ x_{2}^{\prime }=2 x_{1} \\ x_{3}^{\prime }=-x_{1}+2 x_{2}+4 x_{3} \end {array}\right ] \]
i.c.

17745

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+3 x_{3} \\ x_{2}^{\prime }=-2 x_{2} \\ x_{3}^{\prime }=3 x_{1}-x_{3} \end {array}\right ] \]
i.c.

17746

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {x_{1}}{2}-x_{2}-\frac {3 x_{3}}{2} \\ x_{2}^{\prime }=\frac {3 x_{1}}{2}-2 x_{2}-\frac {3 x_{3}}{2} \\ x_{3}^{\prime }=-2 x_{1}+2 x_{2}+x_{3} \end {array}\right ] \]
i.c.

17747

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+5 x_{2}+3 x_{3}-5 x_{4} \\ x_{2}^{\prime }=2 x_{1}+3 x_{2}+2 x_{3}-4 x_{4} \\ x_{3}^{\prime }=-x_{2}-2 x_{3}+x_{4} \\ x_{4}^{\prime }=2 x_{1}+4 x_{2}+2 x_{3}-5 x_{4} \end {array}\right ] \]

17748

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-5 x_{1}+x_{2}-4 x_{3}-x_{4} \\ x_{2}^{\prime }=-3 x_{2} \\ x_{3}^{\prime }=x_{1}-x_{2}+x_{4} \\ x_{4}^{\prime }=2 x_{1}-x_{2}+2 x_{3}-2 x_{4} \end {array}\right ] \]

17749

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+2 x_{2}-x_{4} \\ x_{2}^{\prime }=2 x_{1}-x_{2}+2 x_{4} \\ x_{3}^{\prime }=3 x_{3} \\ x_{4}^{\prime }=-x_{1}+2 x_{2}+2 x_{4} \end {array}\right ] \]

17750

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+8 x_{2}+5 x_{3}+3 x_{4} \\ x_{2}^{\prime }=2 x_{1}+16 x_{2}+10 x_{3}+6 x_{4} \\ x_{3}^{\prime }=5 x_{1}-14 x_{2}-11 x_{3}-3 x_{4} \\ x_{4}^{\prime }=-x_{1}-8 x_{2}-5 x_{3}-3 x_{4} \end {array}\right ] \]

17751

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+2 x_{2}-2 x_{4} \\ x_{2}^{\prime }=-x_{1}+3 x_{2}-x_{3}+x_{4} \\ x_{3}^{\prime }=-2 x_{1}-2 x_{2}-4 x_{3}+2 x_{4} \\ x_{4}^{\prime }=-7 x_{1}+x_{2}-7 x_{3}+3 x_{4} \end {array}\right ] \]

17752

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-5 x_{1}-2 x_{2}-x_{3}+2 x_{4}+3 x_{5} \\ x_{2}^{\prime }=-3 x_{2} \\ x_{3}^{\prime }=x_{1}-x_{3}-x_{5} \\ x_{4}^{\prime }=2 x_{1}+x_{2}-4 x_{4}-2 x_{5} \\ x_{5}^{\prime }=-3 x_{1}-2 x_{2}-x_{3}+2 x_{4}+x_{5} \end {array}\right ] \]

17753

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{2}-2 x_{3}+3 x_{4}+2 x_{5} \\ x_{2}^{\prime }=8 x_{1}+6 x_{2}+4 x_{3}-8 x_{4}-16 x_{5} \\ x_{3}^{\prime }=-8 x_{1}-8 x_{2}-6 x_{3}+8 x_{4}-16 x_{5} \\ x_{4}^{\prime }=8 x_{1}+7 x_{2}+4 x_{3}-9 x_{4}-16 x_{5} \\ x_{5}^{\prime }=-3 x_{1}-5 x_{2}-3 x_{3}+5 x_{4}+7 x_{5} \end {array}\right ] \]

17754

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}+2 x_{2}+x_{3} \\ x_{2}^{\prime }=-2 x_{1}+2 x_{2}+2 x_{3} \\ x_{3}^{\prime }=2 x_{1}-3 x_{2}-3 x_{3} \end {array}\right ] \]

17755

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-4 x_{2}-x_{3} \\ x_{2}^{\prime }=x_{1}+x_{2}+3 x_{3} \\ x_{3}^{\prime }=3 x_{1}-4 x_{2}-2 x_{3} \end {array}\right ] \]

17756

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{2}-x_{3} \\ x_{2}^{\prime }=x_{1}-x_{2}+x_{3} \\ x_{3}^{\prime }=x_{1}-2 x_{2}-2 x_{3} \end {array}\right ] \]

17757

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}+2 x_{2}-x_{3} \\ x_{2}^{\prime }=-6 x_{1}-3 x_{3} \\ x_{3}^{\prime }=\frac {8 x_{2}}{3}-2 x_{3} \end {array}\right ] \]

17758

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-7 x_{1}+6 x_{2}-6 x_{3} \\ x_{2}^{\prime }=-9 x_{1}+5 x_{2}-9 x_{3} \\ x_{3}^{\prime }=-x_{2}-x_{3} \end {array}\right ] \]

17759

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {4 x_{1}}{3}+\frac {4 x_{2}}{3}-\frac {11 x_{3}}{3} \\ x_{2}^{\prime }=-\frac {16 x_{1}}{3}-\frac {x_{2}}{3}+\frac {14 x_{3}}{3} \\ x_{3}^{\prime }=3 x_{1}-2 x_{2}-2 x_{3} \end {array}\right ] \]

17760

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-8 x_{1}-5 x_{2}-3 x_{3} \end {array}\right ] \]

17761

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}+4 x_{3} \\ x_{2}^{\prime }=3 x_{1}+2 x_{2}-x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}-x_{3} \end {array}\right ] \]

17762

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {3 x_{1}}{4}+\frac {29 x_{2}}{4}-\frac {11 x_{3}}{2} \\ x_{2}^{\prime }=-\frac {3 x_{1}}{4}+\frac {3 x_{2}}{4}-\frac {5 x_{3}}{2} \\ x_{3}^{\prime }=\frac {5 x_{1}}{4}+\frac {11 x_{2}}{4}-\frac {5 x_{3}}{2} \end {array}\right ] \]

17763

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-2 x_{1}-x_{2}+4 x_{3}+2 x_{4} \\ x_{2}^{\prime }=-19 x_{1}-6 x_{2}+6 x_{3}+16 x_{4} \\ x_{3}^{\prime }=-9 x_{1}-x_{2}+x_{3}+6 x_{4} \\ x_{4}^{\prime }=-5 x_{1}-3 x_{2}+6 x_{3}+5 x_{4} \end {array}\right ] \]

17764

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+6 x_{2}+2 x_{3}-2 x_{4} \\ x_{2}^{\prime }=2 x_{1}-3 x_{2}-6 x_{3}+2 x_{4} \\ x_{3}^{\prime }=-4 x_{1}+8 x_{2}+3 x_{3}-4 x_{4} \\ x_{4}^{\prime }=2 x_{1}-2 x_{2}-6 x_{3}+x_{4} \end {array}\right ] \]

17765

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-4 x_{2}+5 x_{3}+9 x_{4} \\ x_{2}^{\prime }=-2 x_{1}-5 x_{2}+4 x_{3}+12 x_{4} \\ x_{3}^{\prime }=-2 x_{1}-x_{3}+2 x_{4} \\ x_{4}^{\prime }=-2 x_{2}+2 x_{3}+3 x_{4} \end {array}\right ] \]

17766

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-5 x_{2}+8 x_{3}+14 x_{4} \\ x_{2}^{\prime }=-6 x_{1}-8 x_{2}+11 x_{3}+27 x_{4} \\ x_{3}^{\prime }=-6 x_{1}-4 x_{2}+7 x_{3}+17 x_{4} \\ x_{4}^{\prime }=-2 x_{2}+2 x_{3}+4 x_{4} \end {array}\right ] \]

17767

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{2}-2 x_{4} \\ x_{2}^{\prime }=-\frac {x_{1}}{2}+x_{2}-3 x_{3}-\frac {5 x_{4}}{2} \\ x_{3}^{\prime }=3 x_{2}-5 x_{3}-3 x_{4} \\ x_{4}^{\prime }=x_{1}+3 x_{2}-3 x_{4} \end {array}\right ] \]

17768

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-2 x_{2} \\ x_{2}^{\prime }=2 x_{1}-2 x_{2} \end {array}\right ] \]

17769

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+2 x_{2} \\ x_{2}^{\prime }=\frac {x_{1}}{2}-3 x_{2} \end {array}\right ] \]

17770

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

17771

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {x_{1}}{2}-\frac {x_{2}}{4} \\ x_{2}^{\prime }=x_{1}-\frac {x_{2}}{2} \end {array}\right ] \]

17772

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-\frac {5 x_{2}}{2} \\ x_{2}^{\prime }=\frac {x_{1}}{2}-x_{2} \end {array}\right ] \]

17773

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]

17774

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-x_{2} \\ x_{2}^{\prime }=3 x_{1}+x_{2} \end {array}\right ] \]

17775

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2} \\ x_{2}^{\prime }=5 x_{1}-3 x_{2} \end {array}\right ] \]

17776

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2} \end {array}\right ] \]

17777

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=\frac {x_{1}}{2}+\frac {x_{2}}{2} \\ x_{2}^{\prime }=2 x_{1}-x_{2} \end {array}\right ] \]

17778

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+4 x_{2} \\ x_{2}^{\prime }=-x_{1}-2 x_{2} \end {array}\right ] \]

17779

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}+\frac {5 x_{2}}{2} \\ x_{2}^{\prime }=-\frac {5 x_{1}}{2}+2 x_{2} \end {array}\right ] \]

17780

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-8 x_{1}-5 x_{2}-3 x_{3} \end {array}\right ] \]

17781

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}+4 x_{3} \\ x_{2}^{\prime }=3 x_{1}+2 x_{2}-x_{3} \\ x_{3}^{\prime }=2 x_{1}+x_{2}-x_{3} \end {array}\right ] \]

17782

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-3 x_{1}-9 x_{2} \\ x_{2}^{\prime }=x_{1}-3 x_{2} \end {array}\right ] \]
i.c.

17783

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2} \end {array}\right ] \]
i.c.

17784

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

17785

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-x_{2} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \end {array}\right ] \]

17786

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-x_{1}-5 x_{2} \\ x_{2}^{\prime }=x_{1}+3 x_{2} \end {array}\right ] \]

17787

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{2}-x_{3} \\ x_{2}^{\prime }=x_{1}+x_{3} \\ x_{3}^{\prime }=x_{1}+x_{2} \end {array}\right ] \]

17788

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-k_{1} x_{1} \\ x_{2}^{\prime }=k_{1} x_{1}-k_{2} x_{2} \\ x_{3}^{\prime }=k_{2} x_{2} \end {array}\right ] \]
i.c.

17789

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=3 x_{1}-2 x_{2}+t \end {array}\right ] \]

17790

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+\sqrt {3}\, x_{2}+{\mathrm e}^{t} \\ x_{2}^{\prime }=\sqrt {3}\, x_{1}-x_{2}+\sqrt {3}\, {\mathrm e}^{-t} \end {array}\right ] \]

17791

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}-5 x_{2}-\cos \left (t \right ) \\ x_{2}^{\prime }=x_{1}-2 x_{2}+\sin \left (t \right ) \end {array}\right ] \]

17792

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+{\mathrm e}^{-2 t} \\ x_{2}^{\prime }=4 x_{1}-2 x_{2}-2 \,{\mathrm e}^{t} \end {array}\right ] \]

17793

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=1-x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{2}+t \\ x_{3}^{\prime }=-2 x_{1}-x_{2}+3 x_{3}+{\mathrm e}^{-t} \end {array}\right ] \]

17794

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {x_{1}}{2}+\frac {x_{2}}{2}-\frac {x_{3}}{2}+1 \\ x_{2}^{\prime }=-x_{1}-2 x_{2}+x_{3}+t \\ x_{3}^{\prime }=\frac {x_{1}}{2}+\frac {x_{2}}{2}-\frac {3 x_{3}}{2}+11 \,{\mathrm e}^{-3 t} \end {array}\right ] \]

17795

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-4 x_{1}+x_{2}+3 x_{3}+3 t \\ x_{2}^{\prime }=-2 x_{2} \\ x_{3}^{\prime }=-2 x_{1}+x_{2}+x_{3}+3 \cos \left (t \right ) \end {array}\right ] \]

17796

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-\frac {x_{1}}{2}+x_{2}+\frac {x_{3}}{2} \\ x_{2}^{\prime }=x_{1}-x_{2}+x_{3}-\sin \left (t \right ) \\ x_{3}^{\prime }=\frac {x_{1}}{2}+x_{2}-\frac {x_{3}}{2} \end {array}\right ] \]

17797

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=2 x_{1}+x_{2}+1 \\ x_{2}^{\prime }=x_{1}-2 x_{2}+x_{3} \\ x_{3}^{\prime }=x_{2}-x_{3} \end {array}\right ] \]
i.c.

17798

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}-9 x_{2} \\ x_{2}^{\prime }=x_{1}-2 x_{2} \end {array}\right ] \]

17799

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-9 x_{2} \\ x_{2}^{\prime }=x_{1}-3 x_{2} \end {array}\right ] \]

17800

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2}+x_{3} \\ x_{2}^{\prime }=2 x_{1}+x_{2}-x_{3} \\ x_{3}^{\prime }=-3 x_{1}+2 x_{2}+4 x_{3} \end {array}\right ] \]

17801

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}-3 x_{2}-2 x_{3} \\ x_{2}^{\prime }=8 x_{1}-5 x_{2}-4 x_{3} \\ x_{3}^{\prime }=-4 x_{1}+3 x_{2}+3 x_{3} \end {array}\right ] \]

17802

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-7 x_{1}+9 x_{2}-6 x_{3} \\ x_{2}^{\prime }=-8 x_{1}+11 x_{2}-7 x_{3} \\ x_{3}^{\prime }=-2 x_{1}+3 x_{2}-x_{3} \end {array}\right ] \]

17803

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=5 x_{1}+6 x_{2}+2 x_{3} \\ x_{2}^{\prime }=-2 x_{1}-2 x_{2}-x_{3} \\ x_{3}^{\prime }=-2 x_{1}-3 x_{2} \end {array}\right ] \]

17804

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=-8 x_{1}-16 x_{2}-16 x_{3}-17 x_{4} \\ x_{2}^{\prime }=-2 x_{1}-10 x_{2}-8 x_{3}-7 x_{4} \\ x_{3}^{\prime }=-2 x_{1}-2 x_{3}-3 x_{4} \\ x_{4}^{\prime }=6 x_{1}+14 x_{2}+14 x_{3}+14 x_{4} \end {array}\right ] \]

17805

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-x_{2}-2 x_{3}+3 x_{4} \\ x_{2}^{\prime }=2 x_{1}-\frac {3 x_{2}}{2}-x_{3}+\frac {7 x_{4}}{2} \\ x_{3}^{\prime }=-x_{1}+\frac {x_{2}}{2}-\frac {3 x_{4}}{2} \\ x_{4}^{\prime }=-2 x_{1}+\frac {3 x_{2}}{2}+3 x_{3}-\frac {7 x_{4}}{2} \end {array}\right ] \]

17806

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}-4 x_{2} \\ x_{2}^{\prime }=4 x_{1}-7 x_{2} \end {array}\right ] \]
i.c.

17807

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=3 x_{1}-4 x_{2} \\ x_{2}^{\prime }=x_{1}-x_{2} \end {array}\right ] \]
i.c.

17808

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=4 x_{1}+x_{2}+3 x_{3} \\ x_{2}^{\prime }=6 x_{1}+4 x_{2}+6 x_{3} \\ x_{3}^{\prime }=-5 x_{1}-2 x_{2}-4 x_{3} \end {array}\right ] \]
i.c.

17809

\[ {}\left [\begin {array}{c} x_{1}^{\prime }=x_{1}+x_{2} \\ x_{2}^{\prime }=-14 x_{1}-5 x_{2}+x_{3} \\ x_{3}^{\prime }=15 x_{1}+5 x_{2}-2 x_{3} \end {array}\right ] \]
i.c.

17810

\[ {}\left [\begin {array}{c} x^{\prime }=-2 y+x y \\ y^{\prime }=x+4 x y \end {array}\right ] \]

17811

\[ {}\left [\begin {array}{c} x^{\prime }=1+5 y \\ y^{\prime }=1-6 x^{2} \end {array}\right ] \]

17959

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=z \\ z^{\prime }=x \end {array}\right ] \]

17960

\[ {}\left [\begin {array}{c} y^{\prime }=y+z \\ z^{\prime }=y+z+x \end {array}\right ] \]

17961

\[ {}\left [\begin {array}{c} y^{\prime }=\frac {y^{2}}{z} \\ z^{\prime }=\frac {y}{2} \end {array}\right ] \]

17962

\[ {}\left [\begin {array}{c} y^{\prime }=1-\frac {1}{z} \\ z^{\prime }=\frac {1}{y-x} \end {array}\right ] \]

17963

\[ {}\left [\begin {array}{c} y^{\prime }=-z \\ z^{\prime }=y \end {array}\right ] \]
i.c.

17966

\[ {}\left [\begin {array}{c} y^{\prime }=\frac {z^{2}}{y} \\ z^{\prime }=\frac {y^{2}}{z} \end {array}\right ] \]

17967

\[ {}\left [\begin {array}{c} y^{\prime }=\frac {y^{2}}{z} \\ z^{\prime }=\frac {z^{2}}{y} \end {array}\right ] \]

17968

\[ {}\left [\begin {array}{c} x^{\prime }=y+z-x \\ y^{\prime }=x-y+z \\ z^{\prime }=x+y-z \end {array}\right ] \]

17969

\[ {}\left [\begin {array}{c} x^{\prime }+x+y=t^{2} \\ y^{\prime }+y+z=2 t \\ z^{\prime }+z=t \end {array}\right ] \]

17970

\[ {}\left [\begin {array}{c} x^{\prime }+5 x+y=7 \,{\mathrm e}^{t}-27 \\ -2 x+y^{\prime }+3 y=-3 \,{\mathrm e}^{t}+12 \end {array}\right ] \]

17971

\[ {}\left [\begin {array}{c} y^{\prime \prime }+z^{\prime }-2 z={\mathrm e}^{2 x} \\ z^{\prime }+2 y^{\prime }-3 y=0 \end {array}\right ] \]

17972

\[ {}\left [\begin {array}{c} x^{\prime }=y \\ y^{\prime }=x+{\mathrm e}^{t}+{\mathrm e}^{-t} \end {array}\right ] \]

17973

\[ {}\left [\begin {array}{c} y^{\prime }+\frac {2 z}{x^{2}}=1 \\ z^{\prime }+y=x \end {array}\right ] \]

17974

\[ {}\left [\begin {array}{c} t x^{\prime }-x-3 y=t \\ t y^{\prime }-x+y=0 \end {array}\right ] \]

17975

\[ {}\left [\begin {array}{c} t x^{\prime }+6 x-y-3 z=0 \\ t y^{\prime }+23 x-6 y-9 z=0 \\ t z^{\prime }+x+y-2 z=0 \end {array}\right ] \]

17976

\[ {}\left [\begin {array}{c} x^{\prime }+5 x+y={\mathrm e}^{t} \\ y^{\prime }-x+3 y={\mathrm e}^{2 t} \end {array}\right ] \]

18387

\[ {}\left [\begin {array}{c} x^{\prime }=x+3 y \\ y^{\prime }=3 x+y \end {array}\right ] \]
i.c.

18388

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=3 x+2 y \end {array}\right ] \]

18389

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y+t -1 \\ y^{\prime }=3 x+2 y-5 t -2 \end {array}\right ] \]

18390

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=y \end {array}\right ] \]

18391

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=y \end {array}\right ] \]

18392

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+4 y \\ y^{\prime }=-2 x+3 y \end {array}\right ] \]

18393

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=5 x+2 y \end {array}\right ] \]

18394

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+4 y \\ y^{\prime }=y-x \end {array}\right ] \]

18395

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-3 y \\ y^{\prime }=8 x-6 y \end {array}\right ] \]

18396

\[ {}\left [\begin {array}{c} x^{\prime }=2 x \\ y^{\prime }=3 y \end {array}\right ] \]

18397

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x-y \\ y^{\prime }=x-2 y \end {array}\right ] \]

18398

\[ {}\left [\begin {array}{c} x^{\prime }=7 x+6 y \\ y^{\prime }=2 x+6 y \end {array}\right ] \]

18399

\[ {}\left [\begin {array}{c} x^{\prime }=x-2 y \\ y^{\prime }=4 x+5 y \end {array}\right ] \]

18400

\[ {}\left [\begin {array}{c} x^{\prime }=x+y-5 t +2 \\ y^{\prime }=4 x-2 y-8 t -8 \end {array}\right ] \]

18401

\[ {}\left [\begin {array}{c} x^{\prime }=2 x \\ y^{\prime }=3 y \end {array}\right ] \]

18402

\[ {}\left [\begin {array}{c} x^{\prime }=-x-2 y \\ y^{\prime }=4 x-5 y \end {array}\right ] \]

18403

\[ {}\left [\begin {array}{c} x^{\prime }=-3 x+4 y \\ y^{\prime }=-2 x+3 y \end {array}\right ] \]

18404

\[ {}\left [\begin {array}{c} x^{\prime }=5 x+2 y \\ y^{\prime }=-17 x-5 y \end {array}\right ] \]

18405

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x-y \\ y^{\prime }=x-2 y \end {array}\right ] \]

18406

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-3 y \\ y^{\prime }=8 x-6 y \end {array}\right ] \]

18407

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=5 x+2 y \end {array}\right ] \]

18436

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=x+2 y \end {array}\right ] \]

18632

\[ {}\left [\begin {array}{c} z^{\prime }+7 y-3 z=0 \\ 7 y^{\prime }+63 y-36 z=0 \end {array}\right ] \]

18633

\[ {}\left [\begin {array}{c} z^{\prime }+2 y^{\prime }+3 y=0 \\ y^{\prime }+3 y-2 z=0 \end {array}\right ] \]

18634

\[ {}\left [\begin {array}{c} y^{\prime }+3 y+z=0 \\ z^{\prime }+3 y+5 z=0 \end {array}\right ] \]

18635

\[ {}\left [\begin {array}{c} y^{\prime }+3 y+2 z=0 \\ z^{\prime }+2 y-4 z=0 \end {array}\right ] \]

18636

\[ {}\left [\begin {array}{c} y^{\prime }-3 y-2 z=0 \\ z^{\prime }+y-2 z=0 \end {array}\right ] \]

18637

\[ {}\left [\begin {array}{c} y^{\prime }+z^{\prime }+6 y=0 \\ z^{\prime }+5 y+z=0 \end {array}\right ] \]

18638

\[ {}\left [\begin {array}{c} z^{\prime }+y^{\prime }+5 y-3 z=x +{\mathrm e}^{x} \\ y^{\prime }+2 y-z={\mathrm e}^{x} \end {array}\right ] \]

18639

\[ {}\left [\begin {array}{c} z^{\prime }+y+3 z={\mathrm e}^{x} \\ y^{\prime }+3 y+4 z={\mathrm e}^{2 x} \end {array}\right ] \]

18640

\[ {}\left [\begin {array}{c} z^{\prime }-3 y+2 z={\mathrm e}^{x} \\ y^{\prime }+2 y-z={\mathrm e}^{3 x} \end {array}\right ] \]

18641

\[ {}\left [\begin {array}{c} z^{\prime }+5 y-2 z=x \\ y^{\prime }+4 y+z=x \end {array}\right ] \]

18642

\[ {}\left [\begin {array}{c} z^{\prime }+7 y-9 z={\mathrm e}^{x} \\ y^{\prime }-y-3 z={\mathrm e}^{2 x} \end {array}\right ] \]

18643

\[ {}\left [\begin {array}{c} y^{\prime }-2 y-2 z={\mathrm e}^{3 x} \\ z^{\prime }+5 y-2 z={\mathrm e}^{4 x} \end {array}\right ] \]

18957

\[ {}\left [\begin {array}{c} x^{\prime }+2 x+y^{\prime }+y=0 \\ 5 x+y^{\prime }+3 y=0 \end {array}\right ] \]

18958

\[ {}\left [\begin {array}{c} x^{\prime }-7 x+y=0 \\ y^{\prime }-2 x-5 y=0 \end {array}\right ] \]

18959

\[ {}\left [\begin {array}{c} x^{\prime }+2 x-3 y=t \\ y^{\prime }-3 x+2 y={\mathrm e}^{2 t} \end {array}\right ] \]

18960

\[ {}\left [\begin {array}{c} 4 x^{\prime }+9 y^{\prime }+44 x+49 y=t \\ 3 x^{\prime }+7 y^{\prime }+34 x+38 y={\mathrm e}^{t} \end {array}\right ] \]

18961

\[ {}\left [\begin {array}{c} x^{\prime \prime }-3 x-4 y=0 \\ y^{\prime \prime }+x+y=0 \end {array}\right ] \]

18962

\[ {}\left [\begin {array}{c} x^{\prime }+2 y^{\prime }-2 x+2 y=3 \,{\mathrm e}^{t} \\ 3 x^{\prime }+y^{\prime }+2 x+y=4 \,{\mathrm e}^{2 t} \end {array}\right ] \]

18963

\[ {}\left [\begin {array}{c} 4 x^{\prime }+9 y^{\prime }+2 x+31 y={\mathrm e}^{t} \\ 3 x^{\prime }+7 y^{\prime }+x+24 y=3 \end {array}\right ] \]

18964

\[ {}\left [\begin {array}{c} x^{\prime }+4 x+3 y=t \\ y^{\prime }+2 x+5 y={\mathrm e}^{t} \end {array}\right ] \]

18965

\[ {}\left [\begin {array}{c} x^{\prime }=n y-m z \\ y^{\prime }=L z-m x \\ z^{\prime }=m x-L y \end {array}\right ] \]

19429

\[ {}\left [\begin {array}{c} t x^{\prime }+y=0 \\ t y^{\prime }+x=0 \end {array}\right ] \]

19560

\[ {}\left [\begin {array}{c} x^{\prime }-7 x+y=0 \\ y^{\prime }-2 x-5 y=0 \end {array}\right ] \]

19561

\[ {}\left [\begin {array}{c} x^{\prime }+5 x+y={\mathrm e}^{t} \\ y^{\prime }-x+3 y={\mathrm e}^{2 t} \end {array}\right ] \]

19562

\[ {}\left [\begin {array}{c} 4 x^{\prime }+9 y^{\prime }+11 x+31 y={\mathrm e}^{t} \\ 3 x^{\prime }+7 y^{\prime }+8 x+24 y={\mathrm e}^{2 t} \end {array}\right ] \]

19563

\[ {}\left [\begin {array}{c} t x^{\prime }=t -2 x \\ t y^{\prime }=t x+t y+2 x-t \end {array}\right ] \]