4.11.6 Problems 501 to 600

Table 4.809: Third and higher order homogeneous ODE

#

ODE

Mathematica

Maple

Sympy

14246

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

14265

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

14412

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

14418

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

14419

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

14420

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

14421

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

14422

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

14423

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

14424

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

14425

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

14426

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

14428

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

14429

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

14438

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

14439

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

14463

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

15145

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

15147

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

15148

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

15168

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

15188

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

15192

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

15213

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

15215

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

15216

\[ {} x^{3} y^{\prime \prime \prime }-4 y^{\prime \prime }+10 y^{\prime }-12 y = 0 \]

15228

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

15229

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

15234

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

15235

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

15274

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

15275

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

15276

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

15277

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

15278

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

15279

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

15280

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

15281

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

15282

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

15283

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

15284

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

15285

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

15286

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

15287

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

15288

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

15289

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

15290

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

15291

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

15292

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

15293

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

15294

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

15295

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

15296

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

15297

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

15298

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

15299

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

15324

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

15325

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

15326

\[ {} x^{3} y^{\prime \prime \prime }-5 x^{2} y^{\prime \prime }+14 x y^{\prime }-18 y = 0 \]

15327

\[ {} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+7 x y^{\prime }-8 y = 0 \]

15328

\[ {} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+9 x y^{\prime }+16 y = 0 \]

15329

\[ {} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 0 \]

15330

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

15331

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

15463

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

15468

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

15481

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

15719

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

15720

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

15745

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

15746

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

15760

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

16288

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

16289

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

16290

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

16291

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

16292

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

16293

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

16294

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

16295

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

16296

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

16297

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

16298

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

16299

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

16300

\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }-y^{\prime \prime }+54 y^{\prime }-72 y = 0 \]

16301

\[ {} y^{\prime \prime \prime \prime }+7 y^{\prime \prime \prime }+6 y^{\prime \prime }-32 y^{\prime }-32 y = 0 \]

16302

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

16303

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

16304

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

16305

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

16306

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

16307

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

16308

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

16309

\[ {} y^{\left (6\right )}+12 y^{\prime \prime \prime \prime }+48 y^{\prime \prime }+64 y = 0 \]

16310

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

16311

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

16312

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

16313

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

16314

\[ {} 24 y^{\prime \prime \prime }-26 y^{\prime \prime }+9 y^{\prime }-y = 0 \]

16315

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