4.21.5 Problems 401 to 500

Table 4.989: Higher order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

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

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

16316

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

16317

\[ {} 8 y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+66 y^{\prime \prime \prime }-41 y^{\prime \prime }-37 y^{\prime } = 0 \]

16318

\[ {} 2 y^{\left (5\right )}+7 y^{\prime \prime \prime \prime }+17 y^{\prime \prime \prime }+17 y^{\prime \prime }+5 y^{\prime } = 0 \]

16319

\[ {} y^{\left (5\right )}+8 y^{\prime \prime \prime \prime } = 0 \]

16320

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

16321

\[ {} y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y = 0 \]

16322

\[ {} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+60 y^{\prime \prime }+124 y^{\prime }+75 y = 0 \]

16323

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

16324

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+30 y^{\prime \prime }-56 y^{\prime }+49 y = 0 \]

16325

\[ {} \frac {31 y^{\prime \prime \prime }}{100}+\frac {56 y^{\prime \prime }}{5}-\frac {49 y^{\prime }}{5}+\frac {53 y}{10} = 0 \]

16493

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

16494

\[ {} 9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime } = 0 \]

16495

\[ {} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime } = 0 \]

16875

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

16878

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

16880

\[ {} y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime } = 0 \]

16882

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

16883

\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+10 y^{\prime \prime }+12 y^{\prime }+5 y = 0 \]

16886

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

16887

\[ {} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y = 0 \]

16888

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

16889

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

16890

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

16891

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

16892

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

16893

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

16894

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

17114

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

17115

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

17641

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

17656

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

17657

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

17658

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

17721

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

17729

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

17730

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

17731

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

17732

\[ {} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+9 y^{\prime \prime } = 0 \]

17925

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

17931

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

17932

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

17933

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

17934

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

17936

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

18023

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

18278

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

18279

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

18280

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

18281

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

18282

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

18283

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

18284

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

18285

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

18286

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

18287

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

18288

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

18289

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

18290

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

18291

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

18292

\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0 \]

18293

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

18505

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

18513

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

18578

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

18579

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

18580

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

18581

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

18582

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

18583

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

18584

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

18792

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

18793

\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0 \]

18795

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

18796

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

18815

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

18816

\[ {} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y = 0 \]

18890

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

18907

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

19081

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

19085

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

19087

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