2.2.147 Problems 14601 to 14700

Table 2.295: Main lookup table. Sorted sequentially by problem number.

#

ODE

CAS classification

Solved?

time (sec)

14601

\[ {}y^{\prime } = y \left (y-1\right ) \left (y-3\right ) \]
i.c.

[_quadrature]

31.294

14602

\[ {}y^{\prime } = y \left (y-1\right ) \left (y-3\right ) \]
i.c.

[_quadrature]

31.773

14603

\[ {}y^{\prime } = -y^{2} \]

[_quadrature]

2.079

14604

\[ {}y^{\prime } = y^{3} \]
i.c.

[_quadrature]

4.167

14605

\[ {}y^{\prime } = \frac {1}{\left (y+1\right ) \left (t -2\right )} \]
i.c.

[_separable]

2.496

14606

\[ {}y^{\prime } = \frac {1}{\left (y+2\right )^{2}} \]
i.c.

[_quadrature]

2.401

14607

\[ {}y^{\prime } = \frac {t}{y-2} \]
i.c.

[_separable]

3.322

14608

\[ {}y^{\prime } = 3 y \left (y-2\right ) \]
i.c.

[_quadrature]

3.178

14609

\[ {}y^{\prime } = 3 y \left (y-2\right ) \]
i.c.

[_quadrature]

3.450

14610

\[ {}y^{\prime } = 3 y \left (y-2\right ) \]
i.c.

[_quadrature]

3.589

14611

\[ {}y^{\prime } = 3 y \left (y-2\right ) \]
i.c.

[_quadrature]

1.939

14612

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

2.539

14613

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

2.568

14614

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

1.696

14615

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

2.550

14616

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

2.779

14617

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

57.017

14618

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

2.629

14619

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

2.870

14620

\[ {}w^{\prime } = w \cos \left (w\right ) \]

[_quadrature]

2.671

14621

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

2.607

14622

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

2.735

14623

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

2.802

14624

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

2.751

14625

\[ {}w^{\prime } = \left (1-w\right ) \sin \left (w\right ) \]

[_quadrature]

6.024

14626

\[ {}y^{\prime } = \frac {1}{y-2} \]

[_quadrature]

1.908

14627

\[ {}v^{\prime } = -v^{2}-2 v-2 \]

[_quadrature]

1.377

14628

\[ {}w^{\prime } = 3 w^{3}-12 w^{2} \]

[_quadrature]

13.206

14629

\[ {}y^{\prime } = 1+\cos \left (y\right ) \]

[_quadrature]

2.076

14630

\[ {}y^{\prime } = \tan \left (y\right ) \]

[_quadrature]

1.841

14631

\[ {}y^{\prime } = y \ln \left ({| y|}\right ) \]

[_quadrature]

2.903

14632

\[ {}w^{\prime } = \left (w^{2}-2\right ) \arctan \left (w\right ) \]

[_quadrature]

5.000

14633

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

1.864

14634

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

1.625

14635

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

1.886

14636

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

1.804

14637

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

1.825

14638

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

1.869

14639

\[ {}y^{\prime } = y \cos \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

4.138

14640

\[ {}y^{\prime } = y-y^{2} \]

[_quadrature]

2.282

14641

\[ {}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

3.800

14642

\[ {}y^{\prime } = y^{3}-y^{2} \]

[_quadrature]

19.285

14643

\[ {}y^{\prime } = \cos \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

4.479

14644

\[ {}y^{\prime } = y^{2}-y \]

[_quadrature]

2.018

14645

\[ {}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

3.800

14646

\[ {}y^{\prime } = y^{2}-y^{3} \]

[_quadrature]

18.354

14647

\[ {}y^{\prime } = -4 y+9 \,{\mathrm e}^{-t} \]

[[_linear, ‘class A‘]]

1.434

14648

\[ {}y^{\prime } = -4 y+3 \,{\mathrm e}^{-t} \]

[[_linear, ‘class A‘]]

1.413

14649

\[ {}y^{\prime } = -3 y+4 \cos \left (2 t \right ) \]

[[_linear, ‘class A‘]]

1.639

14650

\[ {}y^{\prime } = 2 y+\sin \left (2 t \right ) \]

[[_linear, ‘class A‘]]

1.621

14651

\[ {}y^{\prime } = 3 y-4 \,{\mathrm e}^{3 t} \]

[[_linear, ‘class A‘]]

1.333

14652

\[ {}y^{\prime } = \frac {y}{2}+4 \,{\mathrm e}^{\frac {t}{2}} \]

[[_linear, ‘class A‘]]

1.345

14653

\[ {}y^{\prime }+2 y = {\mathrm e}^{\frac {t}{3}} \]
i.c.

[[_linear, ‘class A‘]]

1.816

14654

\[ {}y^{\prime }-2 y = 3 \,{\mathrm e}^{-2 t} \]
i.c.

[[_linear, ‘class A‘]]

1.842

14655

\[ {}y^{\prime }+y = \cos \left (2 t \right ) \]
i.c.

[[_linear, ‘class A‘]]

1.900

14656

\[ {}y^{\prime }+3 y = \cos \left (2 t \right ) \]
i.c.

[[_linear, ‘class A‘]]

2.004

14657

\[ {}y^{\prime }-2 y = 7 \,{\mathrm e}^{2 t} \]
i.c.

[[_linear, ‘class A‘]]

1.680

14658

\[ {}y^{\prime }+2 y = 3 t^{2}+2 t -1 \]

[[_linear, ‘class A‘]]

1.408

14659

\[ {}y^{\prime }+2 y = t^{2}+2 t +1+{\mathrm e}^{4 t} \]

[[_linear, ‘class A‘]]

2.202

14660

\[ {}y^{\prime }+y = t^{3}+\sin \left (3 t \right ) \]

[[_linear, ‘class A‘]]

2.004

14661

\[ {}y^{\prime }-3 y = 2 t -{\mathrm e}^{4 t} \]

[[_linear, ‘class A‘]]

1.494

14662

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

[[_linear, ‘class A‘]]

2.248

14663

\[ {}y^{\prime } = -\frac {y}{t}+2 \]

[_linear]

2.881

14664

\[ {}y^{\prime } = \frac {3 y}{t}+t^{5} \]

[_linear]

1.665

14665

\[ {}y^{\prime } = -\frac {y}{t +1}+t^{2} \]

[_linear]

1.831

14666

\[ {}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}} \]

[_linear]

1.767

14667

\[ {}y^{\prime }-\frac {2 t y}{t^{2}+1} = 3 \]

[_linear]

1.882

14668

\[ {}y^{\prime }-\frac {2 y}{t} = t^{3} {\mathrm e}^{t} \]

[_linear]

1.733

14669

\[ {}y^{\prime } = -\frac {y}{t +1}+2 \]
i.c.

[_linear]

2.171

14670

\[ {}y^{\prime } = \frac {y}{t +1}+4 t^{2}+4 t \]
i.c.

[_linear]

1.586

14671

\[ {}y^{\prime } = -\frac {y}{t}+2 \]
i.c.

[_linear]

3.175

14672

\[ {}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}} \]
i.c.

[_linear]

2.122

14673

\[ {}y^{\prime }-\frac {2 y}{t} = 2 t^{2} \]
i.c.

[_linear]

2.033

14674

\[ {}y^{\prime }-\frac {3 y}{t} = 2 t^{3} {\mathrm e}^{2 t} \]
i.c.

[_linear]

2.801

14675

\[ {}y^{\prime } = \sin \left (t \right ) y+4 \]

[_linear]

1.689

14676

\[ {}y^{\prime } = t^{2} y+4 \]

[_linear]

1.564

14677

\[ {}y^{\prime } = \frac {y}{t^{2}}+4 \cos \left (t \right ) \]

[_linear]

1.995

14678

\[ {}y^{\prime } = y+4 \cos \left (t^{2}\right ) \]

[[_linear, ‘class A‘]]

1.836

14679

\[ {}y^{\prime } = -y \,{\mathrm e}^{-t^{2}}+\cos \left (t \right ) \]

[_linear]

2.630

14680

\[ {}y^{\prime } = \frac {y}{\sqrt {t^{3}-3}}+t \]

[_linear]

24.628

14681

\[ {}y^{\prime } = a t y+4 \,{\mathrm e}^{-t^{2}} \]

[_linear]

1.385

14682

\[ {}y^{\prime } = t^{r} y+4 \]

[_linear]

1.322

14683

\[ {}v^{\prime }+\frac {2 v}{5} = 3 \cos \left (2 t \right ) \]

[[_linear, ‘class A‘]]

1.803

14684

\[ {}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}} \]

[_linear]

1.749

14685

\[ {}y^{\prime }+2 y = 3 \,{\mathrm e}^{-2 t} \]

[[_linear, ‘class A‘]]

1.340

14686

\[ {}y^{\prime } = 3 y \]

[_quadrature]

1.700

14687

\[ {}y^{\prime } = t^{2} \left (t^{2}+1\right ) \]

[_quadrature]

0.494

14688

\[ {}y^{\prime } = -\sin \left (y\right )^{5} \]

[_quadrature]

16.624

14689

\[ {}y^{\prime } = \frac {\left (t^{2}-4\right ) \left (y+1\right ) {\mathrm e}^{y}}{\left (t -1\right ) \left (3-y\right )} \]

[_separable]

2.803

14690

\[ {}y^{\prime } = \sin \left (y\right )^{2} \]

[_quadrature]

2.527

14691

\[ {}y^{\prime } = \left (y-3\right ) \left (\sin \left (y\right ) \sin \left (t \right )+\cos \left (t \right )+1\right ) \]
i.c.

[‘x=_G(y,y’)‘]

12.592

14692

\[ {}y^{\prime } = y+{\mathrm e}^{-t} \]

[[_linear, ‘class A‘]]

1.400

14693

\[ {}y^{\prime } = 3-2 y \]

[_quadrature]

1.711

14694

\[ {}y^{\prime } = t y \]

[_separable]

1.732

14695

\[ {}y^{\prime } = 3 y+{\mathrm e}^{7 t} \]

[[_linear, ‘class A‘]]

1.466

14696

\[ {}y^{\prime } = \frac {t y}{t^{2}+1} \]

[_separable]

1.743

14697

\[ {}y^{\prime } = -5 y+\sin \left (3 t \right ) \]

[[_linear, ‘class A‘]]

1.667

14698

\[ {}y^{\prime } = t +\frac {2 y}{t +1} \]

[_linear]

1.333

14699

\[ {}y^{\prime } = 3+y^{2} \]

[_quadrature]

3.602

14700

\[ {}y^{\prime } = 2 y-y^{2} \]

[_quadrature]

2.395