2.3.265 Problems 26401 to 26500

Table 2.1113: Main lookup table. Sorted by time used to solve.

#

ID

ODE

Solved?

Maple

Mma

Sympy

time(sec)

26401

24064

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y \left (\left (a y+b x \right )^{3}+b \,x^{3}\right ) y^{\prime }+x \left (\left (a y+b x \right )^{3}+a y^{3}\right )&=0 \end {array} \]

69.593

26402

16355

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+x y^{2}-y^{\prime } x&=0 \end {array} \]

69.622

26403

793

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y y^{\prime }+2 x +x^{2}+y^{2}&=0 \end {array} \]

69.684

26404

1203

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-1+x \right ) \left (y^{2}-y+1\right )&=\left (1+y\right ) \left (x^{2}+x +1\right ) y^{\prime } \end {array} \]

69.714

26405

5014

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x -2 y x -y^{2}\right ) y^{\prime }+y^{2}&=0 \end {array} \]

69.724

26406

16101

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \cos \left (x \right ) y+\left (2 y-\sin \left (x \right )\right ) y^{\prime }&=0 \end {array} \]

69.733

26407

13641

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-1&={\mathrm e}^{x +2 y} \end {array} \]

69.736

26408

6315

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{5}+4 x^{3} y-2 x y^{2}+\left (y^{2}+2 x^{2} y-x^{4}\right ) y^{\prime }&=0 \end {array} \]

69.757

26409

8731

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{n} y^{\prime }&=2 y^{\prime } x -y \end {array} \]

69.770

26410

13210

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sqrt {x^{2}+1}+n y+\left (\sqrt {1+y^{2}}+n x \right ) y^{\prime }&=0\\ y \left (0\right )&=n\\ \end {array} \]

69.812

26411

13437

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (3 x +3 y+a^{2}\right ) y^{\prime }&=4 x +4 y+b^{2} \end {array} \]

69.869

26412

13439

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a x y {y^{\prime }}^{2}+\left (x^{2}-a y^{2}-b \right ) y^{\prime }-y x&=0 \end {array} \]

69.952

26413

13655

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+2 y&=0 \end {array} \]

70.001

26414

13373

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+8 y&=0 \end {array} \]

70.039

26415

5086

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=2 \cos \left (x \right )+2 \sin \left (x \right ) \end {array} \]

70.041

26416

28080

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+6 y^{\prime }+9 y&=0 \end {array} \]

70.092

26417

9197

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime \prime \prime }&=2 \end {array} \]

70.093

26418

18051

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime } y^{\prime }&=3 {y^{\prime \prime }}^{2} \end {array} \]

70.125

26419

17802

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&={y^{\prime }}^{2} \end {array} \]

70.190

26420

27914

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime }&=0 \end {array} \]

70.230

26421

8712

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +\left (1-x \right ) y^{\prime }&=0 \end {array} \]

70.276

26422

27524

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+\left (x +1\right ) y&=0 \end {array} \]

70.276

26423

13388

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} \ln \left (x \right )^{2} y^{\prime \prime }-x \ln \left (x \right ) y^{\prime }+\left (1+\ln \left (x \right )\right ) y&=0 \end {array} \]

70.320

26424

28000

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } \left (1+2 \ln \left (y^{\prime }\right )\right )&=1 \end {array} \]

70.321

26425

27348

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } {\mathrm e}^{y^{\prime }} \left (y^{\prime }+2\right )&=1 \end {array} \]

70.416

26426

5467

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 \left (1-y\right ) y^{\prime \prime }&=1+{y^{\prime }}^{2} \end {array} \]

70.466

26427

2320

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime \prime }}^{2}-2 y^{\prime } y^{\prime \prime }+3&=0 \end {array} \]

70.473

26428

16294

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=0 \end {array} \]

70.494

26429

15381

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +2 y^{\prime }-y x&=0 \end {array} \]

70.564

26430

7544

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} \left (1-\ln \left (x \right )\right ) y^{\prime \prime }+y^{\prime } x -y&=0 \end {array} \]

70.628

26431

11687

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }+{y^{\prime }}^{2}&=1 \end {array} \]

70.659

26432

14550

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+6 y {y^{\prime }}^{3}&=0 \end {array} \]

70.693

26433

10526

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=y^{\prime } \left (1+{y^{\prime }}^{2}\right ) \end {array} \]

70.785

26434

6917

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \sin \left (x \right ) y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \end {array} \]

70.798

26435

5240

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \end {array} \]

70.893

26436

5117

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{3} y^{\prime \prime }&=1 \end {array} \]

70.896

26437

5359

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=y^{\prime } \left (1+{y^{\prime }}^{2}\right ) \end {array} \]

70.936

26438

13966

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }&={y^{\prime }}^{2}+y^{\prime } \end {array} \]

70.948

26439

9754

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y \left (1+\ln \left (y\right )\right ) y^{\prime \prime }+{y^{\prime }}^{2}&=2 x y \,{\mathrm e}^{x^{2}} \end {array} \]

71.233

26440

13522

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }&=x \,{\mathrm e}^{x}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ y^{\prime \prime }\left (0\right )&=0\\ \end {array} \]

71.268

26441

11808

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }&=x \end {array} \]

71.319

26442

15782

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }&=x \ln \left (x \right )\\ y \left (1\right )&=1\\ y^{\prime }\left (1\right )&=1\\ y^{\prime \prime }\left (1\right )&=1\\ \end {array} \]

71.352

26443

13554

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }&=x +\cos \left (x \right ) \end {array} \]

71.404

26444

11705

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }&=\frac {x}{\left (2+x \right )^{5}}\\ y \left (1\right )&=0\\ y^{\prime }\left (1\right )&=0\\ y^{\prime \prime }\left (1\right )&=0\\ \end {array} \]

71.449

26445

5528

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime \prime }}^{2}-5 y^{\prime }+6&=0 \end {array} \]

71.470

26446

25884

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \end {array} \]

71.481

26447

21837

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime \prime }}^{2}-2 y^{\prime } y^{\prime \prime }+3&=0 \end {array} \]

71.496

26448

6859

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x&=y^{\prime } \ln \left (\frac {y^{\prime }}{x}\right ) \end {array} \]

71.509

26449

8826

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime \prime }}^{2}+{y^{\prime }}^{2}&={y^{\prime }}^{4} \end {array} \]

71.529

26450

5305

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime \prime \prime }}^{2}+{y^{\prime \prime }}^{2}&=1 \end {array} \]

71.532

26451

5243

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } \left (1+2 \ln \left (y^{\prime }\right )\right )&=1 \end {array} \]

71.567

26452

11589

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x&=1+{y^{\prime \prime }}^{2} \end {array} \]

71.690

26453

27920

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{\prime }+{y^{\prime \prime }}^{2}&=4 y^{\prime \prime } x \end {array} \]

71.738

26454

17347

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime \prime }}^{2}-y^{\prime \prime \prime } y^{\prime }&=\frac {{y^{\prime }}^{2}}{x^{2}} \end {array} \]

71.742

26455

20156

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } {\mathrm e}^{y^{\prime }} \left (y^{\prime }+2\right )&=1 \end {array} \]

71.847

26456

13331

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\frac {y^{\prime }}{x}+\frac {x^{2}}{y^{\prime }}\\ y \left (2\right )&=0\\ y^{\prime }\left (2\right )&=4\\ \end {array} \]

71.881

26457

25759

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime \prime \prime }+y^{\prime \prime }-x -1&=0 \end {array} \]

71.924

26458

10023

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime } y^{\prime }-3 {y^{\prime \prime }}^{2}&=0 \end {array} \]

71.935

26459

6819

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x {y^{\prime }}^{2} y^{\prime \prime }-{y^{\prime }}^{3}&=\frac {x^{4}}{3} \end {array} \]

71.959

26460

5323

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{4} y^{\prime \prime \prime }+2 x^{3} y^{\prime \prime }&=1 \end {array} \]

72.026

26461

19069

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sqrt {-x^{2}+1}\, y^{\prime \prime }+\sqrt {-{y^{\prime }}^{2}+1}&=0 \end {array} \]

72.050

26462

16996

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-1+x \right ) y^{\prime \prime \prime }+2 y^{\prime \prime }&=\frac {x +1}{2 x^{2}} \end {array} \]

72.072

26463

7429

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{3} y^{\prime \prime }&=1 \end {array} \]

72.131

26464

20443

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }-{y^{\prime }}^{2}-1&=0 \end {array} \]

72.200

26465

27513

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{2} y^{\prime \prime }&=1 \end {array} \]

72.204

26466

6253

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime \prime }&=a \,{\mathrm e}^{y} \end {array} \]

72.220

26467

25528

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\frac {1}{4 \sqrt {y}} \end {array} \]

72.444

26468

9166

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y^{\prime \prime }&=\frac {1}{y^{{5}/{3}}} \end {array} \]

72.457

26469

5215

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+{y^{\prime }}^{2}&=2 y y^{\prime \prime } \end {array} \]

72.513

26470

18592

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{3} y^{\prime \prime }&=-1\\ y \left (1\right )&=1\\ y^{\prime }\left (1\right )&=0\\ \end {array} \]

72.533

26471

7275

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{4}-y^{3} y^{\prime \prime }&=1 \end {array} \]

72.669

26472

15363

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }-{y^{\prime }}^{2}&=y^{2} y^{\prime } \end {array} \]

72.703

26473

24270

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }&={y^{\prime }}^{2} \end {array} \]

72.760

26474

12024

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&={\mathrm e}^{2 y}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]

72.842

26475

13382

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y y^{\prime \prime }-3 {y^{\prime }}^{2}&=4 y^{2} \end {array} \]

72.886

26476

24245

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \end {array} \]

72.905

26477

6937

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime } \left (y y^{\prime \prime }-{y^{\prime }}^{2}\right )-y {y^{\prime }}^{2}&=x^{4} y^{3} \end {array} \]

73.065

26478

13614

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{4} y^{\prime \prime }&=\left (y-y^{\prime } x \right )^{3}\\ y \left (1\right )&=1\\ y^{\prime }\left (1\right )&=1\\ \end {array} \]

73.262

26479

8334

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} y^{\prime \prime \prime }-3 y y^{\prime } y^{\prime \prime }+2 {y^{\prime }}^{3}+\frac {y \left (y y^{\prime \prime }-{y^{\prime }}^{2}\right )}{x}&=\frac {y^{3}}{x^{2}} \end {array} \]

73.282

26480

11759

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y&=0 \end {array} \]

73.339

26481

6258

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y^{\prime \prime }-2 y^{\prime }-8 y&=0 \end {array} \]

73.348

26482

11591

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=2\\ y^{\prime \prime }\left (0\right )&=3\\ \end {array} \]

73.412

26483

22013

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+2 y^{\prime }+y^{\prime \prime }&=0 \end {array} \]

73.421

26484

7551

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+3 y&=0\\ y \left (0\right )&=6\\ y^{\prime }\left (0\right )&=10\\ \end {array} \]

73.478

26485

26691

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y&=0 \end {array} \]

73.522

26486

13432

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }-2 y&=0 \end {array} \]

73.569

26487

15651

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime }&=0 \end {array} \]

73.594

26488

20619

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{\prime \prime }-8 y^{\prime }+5 y&=0 \end {array} \]

73.651

26489

10328

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-8 y&=0 \end {array} \]

73.699

26490

19323

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+10 y^{\prime \prime }+12 y^{\prime }+5 y&=0 \end {array} \]

73.704

26491

11904

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }+2 y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]

73.705

26492

6131

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }+2 y&=0\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=3\\ \end {array} \]

73.784

26493

13978

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+4 y^{\prime \prime }-2 y^{\prime }-5 y&=0 \end {array} \]

73.819

26494

16344

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y&=0 \end {array} \]

73.832

26495

21822

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y&=0 \end {array} \]

73.832

26496

2953

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }&=0 \end {array} \]

73.883

26497

18626

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-y&=0 \end {array} \]

73.957

26498

7546

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\left (10\right )}&=0 \end {array} \]

73.990

26499

16069

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-3 y^{\prime }-2 y&=0 \end {array} \]

74.043

26500

16331

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }&=0 \end {array} \]

74.135