4.21.4 Problems 301 to 400

Table 4.987: Higher order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

13355

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

13356

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

13357

\[ {} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+15 y^{\prime \prime }+20 y^{\prime }+12 y = 0 \]

13358

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

13359

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

13374

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

13375

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

13376

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

13377

\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+9 y^{\prime }-5 y = 0 \]

13378

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

13379

\[ {} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y = 0 \]

13831

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

13910

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

13912

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

13959

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

13967

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

13968

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

13969

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

13970

\[ {} y^{\prime \prime \prime }+4 y^{\prime \prime }+29 y^{\prime } = 0 \]

13971

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

13972

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+10 y^{\prime } = 0 \]

13973

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

14154

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

14175

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

14176

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

14177

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

14178

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

14179

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0 \]

14180

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

14181

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

14182

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

14254

\[ {} y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime } = 0 \]

14420

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

14426

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

14427

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

14428

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

14429

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

14430

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

14431

\[ {} 36 y^{\prime \prime \prime \prime }-12 y^{\prime \prime \prime }-11 y^{\prime \prime }+2 y^{\prime }+y = 0 \]

14432

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

14433

\[ {} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+35 y^{\prime \prime }+16 y^{\prime }-52 y = 0 \]

14434

\[ {} y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y = 0 \]

14436

\[ {} y^{\prime \prime \prime }+\left (-3-4 i\right ) y^{\prime \prime }+\left (-4+12 i\right ) y^{\prime }+12 y = 0 \]

14437

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

14446

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0 \]

14447

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

14471

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

15153

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

15156

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

15176

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

15196

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

15221

\[ {} y^{\prime \prime \prime }-9 y^{\prime \prime }+27 y^{\prime }-27 y = 0 \]

15223

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+16 y = 0 \]

15236

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

15237

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

15242

\[ {} y^{\prime \prime \prime }-9 y^{\prime } = 0 \]

15243

\[ {} y^{\prime \prime \prime \prime }-10 y^{\prime \prime }+9 y = 0 \]

15282

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

15283

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

15284

\[ {} y^{\prime \prime \prime \prime }-34 y^{\prime \prime }+225 y = 0 \]

15285

\[ {} y^{\prime \prime \prime \prime }-81 y = 0 \]

15286

\[ {} y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y = 0 \]

15287

\[ {} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = 0 \]

15288

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

15289

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

15290

\[ {} y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y = 0 \]

15291

\[ {} y^{\prime \prime \prime }-9 y^{\prime \prime }+31 y^{\prime }-39 y = 0 \]

15292

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

15293

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }+18 y^{\prime }+9 y = 0 \]

15294

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

15295

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

15296

\[ {} y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y = 0 \]

15297

\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+9 y^{\prime \prime }+9 y^{\prime } = 0 \]

15298

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

15299

\[ {} y^{\prime \prime \prime }+216 y = 0 \]

15300

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

15301

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

15302

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

15303

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

15304

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

15305

\[ {} 4 y^{\prime \prime \prime \prime }+15 y^{\prime \prime }-4 y = 0 \]

15306

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+16 y^{\prime }-16 y = 0 \]

15307

\[ {} y^{\left (6\right )}+16 y^{\prime \prime \prime }+64 y = 0 \]

15471

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

15476

\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime } = 0 \]

15489

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

15727

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

15728

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

15753

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

15754

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

15768

\[ {} y^{\prime \prime \prime \prime }+\frac {25 y^{\prime \prime }}{2}-5 y^{\prime }+\frac {629 y}{16} = 0 \]

16296

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

16297

\[ {} y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime } = 0 \]

16298

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

16299

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

16300

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

16301

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

16302

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

16303

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

16304

\[ {} 5 y^{\prime \prime \prime }-15 y^{\prime }+11 y = 0 \]