4.11.11 Problems 1001 to 1100

Table 4.1075: Third and higher order homogeneous ODE

#

ODE

Mathematica

Maple

Sympy

22238

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \]

22239

\[ {} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0 \]

22240

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0 \]

22241

\[ {} -y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0 \]

22242

\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+16 y^{\prime }+32 y = 0 \]

22243

\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime } = 0 \]

22244

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0 \]

22277

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]

22370

\[ {} y^{\prime \prime \prime \prime }-y = 0 \]

22417

\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y = 0 \]

22430

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]

22445

\[ {} y^{\prime \prime \prime } = 0 \]

22611

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

22612

\[ {} y^{\prime \prime \prime }-y^{\prime } = 0 \]

22747

\[ {} 2 y^{\prime \prime \prime }-5 y^{\prime \prime }+2 y^{\prime } = 0 \]

22749

\[ {} y^{\prime \prime \prime }+2 y^{\prime \prime }-5 y^{\prime }-6 y = 0 \]

22752

\[ {} y^{\prime \prime \prime }-16 y^{\prime } = 0 \]

22753

\[ {} y^{\prime \prime \prime }+5 y^{\prime \prime }+2 y^{\prime }-12 y = 0 \]

22756

\[ {} y^{\prime \prime \prime \prime }-20 y^{\prime \prime }+4 y = 0 \]

22757

\[ {} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }-16 y^{\prime \prime }+12 y^{\prime }+12 y = 0 \]

22761

\[ {} y^{\left (6\right )}-4 y^{\prime \prime \prime \prime } = 0 \]

22762

\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = 0 \]

22763

\[ {} 4 y^{\prime \prime \prime \prime }-20 y^{\prime \prime }+25 y = 0 \]

22765

\[ {} y^{\prime \prime \prime }-y^{\prime \prime } = 0 \]

22774

\[ {} y^{\prime \prime \prime \prime }+16 y^{\prime \prime } = 0 \]

22775

\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-2 y = 0 \]

22779

\[ {} y^{\left (6\right )}-64 y = 0 \]

22780

\[ {} y a^{2} b^{2}+\left (a^{2}+b^{2}\right ) y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0 \]

22781

\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = 0 \]

22782

\[ {} y^{\prime \prime \prime \prime }+4 y = 0 \]

22783

\[ {} y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+25 y = 0 \]

22785

\[ {} y^{\prime \prime \prime }-y = 0 \]

22786

\[ {} y^{\left (6\right )}-4 y^{\prime \prime }+4 y^{\prime } = 0 \]

22787

\[ {} y^{\prime \prime \prime }-y^{\prime \prime } = 0 \]

22788

\[ {} s^{\prime \prime \prime \prime }+2 s^{\prime \prime }-8 s = 0 \]

22789

\[ {} y^{\prime \prime \prime }-y = 0 \]

22790

\[ {} y^{\left (5\right )}-y = 0 \]

22791

\[ {} y^{\prime \prime \prime }-4 y = 0 \]

22795

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime } = 0 \]

22796

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \]

22915

\[ {} y^{\prime \prime \prime } = \frac {24 x +24 y}{x^{3}} \]

23223

\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0 \]

23230

\[ {} y^{\prime \prime \prime } = 0 \]

23343

\[ {} y^{\left (5\right )}-y^{\prime \prime \prime \prime } = 0 \]

23347

\[ {} y^{\left (5\right )}-\frac {y^{\prime \prime \prime \prime }}{x} = 0 \]

23362

\[ {} 2 y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }+x y = 0 \]

23375

\[ {} y^{\prime \prime \prime } = 0 \]

23379

\[ {} y^{\prime \prime \prime \prime } = 0 \]

23381

\[ {} y^{\left (5\right )} = 0 \]

23391

\[ {} y^{\prime }+y^{\prime \prime \prime } = 0 \]

23407

\[ {} \left (x^{3}-1\right ) y^{\prime \prime \prime }-3 y^{\prime \prime }+4 x y = 0 \]

23419

\[ {} 4 y^{\prime \prime \prime }-2 y^{\prime \prime }+6 y^{\prime }-7 y = 0 \]

23420

\[ {} 2 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime }-y = 0 \]

23421

\[ {} y^{\prime \prime \prime }-y^{\prime }+2 y = 0 \]

23423

\[ {} 5 y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-2 y = 0 \]

23424

\[ {} 6 y^{\prime \prime \prime }-4 i y^{\prime \prime }+\left (3+i\right ) y^{\prime }-2 y = 0 \]

23425

\[ {} 3 y^{\prime \prime \prime }+4 y^{\prime \prime } = 0 \]

23426

\[ {} 6 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+y^{\prime \prime }-7 y^{\prime }-6 y = 0 \]

23427

\[ {} 3 y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime }-2 y^{\prime } = 0 \]

23428

\[ {} 2 y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+3 y = 0 \]

23448

\[ {} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0 \]

23456

\[ {} y^{\prime \prime \prime }-7 y^{\prime \prime }+5 y^{\prime }+y = 0 \]

23457

\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+2 y = 0 \]

23458

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]

23464

\[ {} y^{\prime \prime \prime }-y^{\prime \prime } = 0 \]

23465

\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime } = 0 \]

23466

\[ {} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \]

23468

\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime } = 0 \]

23492

\[ {} 2 y-2 x y^{\prime }+3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0 \]

23497

\[ {} 8 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0 \]

23502

\[ {} 8 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0 \]

23503

\[ {} 3 x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = 0 \]

23504

\[ {} x^{4} y^{\prime \prime \prime \prime }-5 x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-6 x y^{\prime }+6 y = 0 \]

23505

\[ {} 2 x^{4} y^{\prime \prime \prime \prime }+3 x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 x y^{\prime }-8 y = 0 \]

23506

\[ {} 2 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-12 x y^{\prime }-2 y = 0 \]

23507

\[ {} x^{5} y^{\left (5\right )}-2 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime } = 0 \]

23508

\[ {} 7 x^{4} y^{\prime \prime \prime \prime }-2 x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-6 x y^{\prime }+6 y = 0 \]

23509

\[ {} x^{5} y^{\left (5\right )}+3 x^{3} y^{\prime \prime \prime }-9 x^{2} y^{\prime \prime }+18 x y^{\prime }-18 y = 0 \]

23510

\[ {} x^{6} y^{\left (6\right )}-12 x^{4} y^{\prime \prime \prime \prime } = 0 \]

23511

\[ {} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-2 x y^{\prime }-2 y = 0 \]

23513

\[ {} x y^{\prime \prime \prime }-\frac {6 y}{x^{2}} = 0 \]

23514

\[ {} x^{2} y^{\prime \prime \prime \prime }-x y^{\prime \prime \prime } = 0 \]

23548

\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 0 \]

23585

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

23668

\[ {} y^{\left (5\right )}-y^{\prime }-\frac {4 y}{x} = 0 \]

23755

\[ {} y^{\prime \prime \prime }-27 y = 0 \]

24059

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime } = 0 \]

24068

\[ {} y^{\prime \prime \prime }+4 y^{\prime } = 0 \]

24106

\[ {} y^{\prime \prime \prime \prime }-y = 0 \]

24107

\[ {} y^{\left (8\right )}-y = 0 \]

24530

\[ {} y^{\prime \prime \prime }+2 y^{\prime \prime }-15 y^{\prime } = 0 \]

24531

\[ {} y^{\prime \prime \prime }+2 y^{\prime \prime }-8 y^{\prime } = 0 \]

24532

\[ {} y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]

24533

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0 \]

24534

\[ {} 4 y^{\prime \prime \prime }-13 y^{\prime }+6 y = 0 \]

24535

\[ {} 4 y^{\prime \prime \prime }-49 y^{\prime }-60 y = 0 \]

24536

\[ {} x^{\prime \prime \prime }-2 x^{\prime \prime }-3 x^{\prime } = 0 \]

24537

\[ {} x^{\prime \prime \prime }-7 x^{\prime }+6 x = 0 \]

24538

\[ {} 10 y^{\prime \prime \prime }+y^{\prime \prime }-7 y^{\prime }+2 y = 0 \]

24539

\[ {} 4 y^{\prime \prime \prime }-13 y^{\prime }-6 y = 0 \]