2.2.196 Problems 19501 to 19563

Table 2.393: Main lookup table. Sorted sequentially by problem number.

#

ODE

CAS classification

Solved?

time (sec)

19501

x3yx2y+2xy2y=x2+3x

[[_3rd_order, _with_linear_symmetries]]

0.304

19502

x3y+6x2y+4xy4y=0

[[_3rd_order, _with_linear_symmetries]]

0.101

19503

x3y+3x2y+xy+y=0

[[_3rd_order, _exact, _linear, _homogeneous]]

0.115

19504

x2y3xy+4y=2x2

[[_2nd_order, _with_linear_symmetries]]

1.401

19505

x3y+2x2y+2y=10x+10x

[[_3rd_order, _exact, _linear, _nonhomogeneous]]

0.770

19506

x2y+3xy+y=1(1x)2

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

1.921

19507

(2x1)3y+(2x1)y2y=0

[[_3rd_order, _with_linear_symmetries]]

0.040

19508

(x+a)2y4(x+a)y+6y=x

[[_2nd_order, _with_linear_symmetries]]

1.191

19509

16(x+1)4y+96(x+1)3y+104(x+1)2y+8(x+1)y+y=x2+4x+3

[[_high_order, _with_linear_symmetries]]

0.053

19510

(x+1)2y+(x+1)y+y=4cos(ln(x+1))

[[_2nd_order, _linear, _nonhomogeneous]]

5.056

19511

2x2yy+4y2=x2y2+2xyy

[[_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_y_y1], [_2nd_order, _reducible, _mu_xy]]

0.139

19512

x2y(2m1)xy+(m2+n2)y=n2xmln(x)

[[_2nd_order, _linear, _nonhomogeneous]]

57.691

19513

x2y3xy+y=ln(x)sin(ln(x))+1x

[[_2nd_order, _linear, _nonhomogeneous]]

8.834

19514

(x2+x+1)y+(3+6x)y+6y=0

[[_3rd_order, _missing_y]]

0.163

19515

(x3x)y+(8x23)y+14xy+4y=2x3

[[_3rd_order, _fully, _exact, _linear]]

0.383

19516

y+cos(x)y2sin(x)yycos(x)=sin(2x)

[[_3rd_order, _fully, _exact, _linear]]

0.660

19517

xy+2xy+3y=x

[[_2nd_order, _with_linear_symmetries]]

0.840

19518

2x2(x+1)y+x(7x+3)y3y=x2

[[_2nd_order, _with_linear_symmetries]]

0.969

19519

2x2cos(y)y2x2sin(y)y2+xcos(y)ysin(y)=ln(x)

[[_2nd_order, _reducible, _mu_y_y1], [_2nd_order, _reducible, _mu_xy]]

1.758

19520

x2yy+(y+xy)23y2=0

[[_2nd_order, _exact, _nonlinear], [_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_xy]]

0.922

19521

y+3xy+2yy2+(x2+2y2y)y=0

[[_2nd_order, _with_linear_symmetries]]

0.145

19522

(y2+2x2y)y+2y2(x+y)+xy+y=0

[[_2nd_order, _exact, _nonlinear], [_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_poly_yn]]

151.255

19523

y=xex

[[_3rd_order, _quadrature]]

0.101

19524

y=x2sin(x)

[[_2nd_order, _quadrature]]

36.177

19525

y=sec(x)2

[[_2nd_order, _quadrature]]

2.416

19526

y+y+y3=0

[[_2nd_order, _missing_x]]

3.117

19527

(x2+1)y+1+y2=0

[[_2nd_order, _missing_y], [_2nd_order, _reducible, _mu_y_y1]]

0.798

19528

y(1ln(y))y+(1+ln(y))y2=0

[[_2nd_order, _missing_x], _Liouville, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]]

0.526

19529

yyy2=y2ln(y)

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_xy]]

2.030

19530

yyy=ny2+a2y

[[_2nd_order, _missing_x]]

21.150

19531

xy+y=0

[[_2nd_order, _missing_y]]

0.715

19532

ya2y=0

[[_high_order, _missing_x]]

0.056

19533

x4y=(yxy)3

[[_2nd_order, _with_linear_symmetries]]

0.128

19534

xy+2y=x2yy2

[NONE]

0.139

19535

xy(2x1)y+(1+x)y=0

[[_2nd_order, _with_linear_symmetries]]

0.752

19536

ysin(x)2=2y

[[_2nd_order, _with_linear_symmetries]]

0.862

19537

(x2+1)y+xyy=x(x2+1)3/2

[[_2nd_order, _with_linear_symmetries]]

2.240

19538

(x+2)y(5+2x)y+2y=(x+1)ex

[[_2nd_order, _with_linear_symmetries]]

1.414

19539

ycot(x)y(1cot(x))y=exsin(x)

[[_2nd_order, _linear, _nonhomogeneous]]

2.196

19540

(xsin(x)+cos(x))yxcos(x)y+ycos(x)=0

[[_2nd_order, _with_linear_symmetries]]

10.308

19541

y+(1+2cot(x)x2x2)y=xcos(x)

[[_2nd_order, _linear, _nonhomogeneous]]

1.566

19542

x2y2(x2+x)y+(x2+2x+2)y=0

[[_2nd_order, _with_linear_symmetries]]

0.547

19543

x2y2xy+(x2+2)y=0

[[_2nd_order, _with_linear_symmetries]]

1.264

19544

y+yx1/3+(14x2/316x4/36x2)y=0

[[_2nd_order, _with_linear_symmetries]]

0.935

19545

y2tan(x)y+y=0

[_Lienard]

4.830

19546

y4xy+(4x21)y=3ex2sin(2x)

[[_2nd_order, _linear, _nonhomogeneous]]

3.763

19547

y(8e2x+2)y+4e4xy=e6x

[[_2nd_order, _linear, _nonhomogeneous]]

4.021

19548

y+cot(x)y+csc(x)2y2=0

[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]

1.810

19549

x6y+3x5y+a2y=1x2

[[_2nd_order, _linear, _nonhomogeneous]]

4.251

19550

xyy4x3y=8x3sin(x2)

[[_2nd_order, _linear, _nonhomogeneous]]

2.438

19551

cos(x)y+sin(x)y2ycos(x)3=2cos(x)5

[[_2nd_order, _linear, _nonhomogeneous]]

4.875

19552

(x+1)2y+(x+1)y+y=4cos(ln(x+1))

[[_2nd_order, _linear, _nonhomogeneous]]

5.058

19553

xy+(1+x)yy=x2

[[_2nd_order, _with_linear_symmetries]]

1.124

19554

3x2y+(6x2+6x+2)y4y=0

[[_2nd_order, _with_linear_symmetries]]

1.234

19555

y+a2y=sec(ax)

[[_2nd_order, _linear, _nonhomogeneous]]

2.972

19556

x2y+xyy=x2ex

[[_2nd_order, _exact, _linear, _nonhomogeneous]]

2.205

19557

x2y2x(x+1)y+2(x+1)y=x3

[[_2nd_order, _with_linear_symmetries]]

1.450

19558

y+(1cot(x))yycot(x)=sin(x)2

[[_2nd_order, _linear, _nonhomogeneous]]

2.536

19559

y6y+11y6y=e2x

[[_3rd_order, _with_linear_symmetries]]

0.102

19560

[x7x+y=0y2x5y=0]

system_of_ODEs

0.543

19561

[x+5x+y=etyx+3y=e2t]

system_of_ODEs

0.477

19562

[4x+9y+11x+31y=et3x+7y+8x+24y=e2t]

system_of_ODEs

0.585

19563

[tx=t2xty=tx+ty+2xt]

system_of_ODEs

0.033