4.25.9 Problems 801 to 900

Table 4.1109: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

17515

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

17516

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

17517

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

17518

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

17519

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

17520

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

17521

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

17522

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

17523

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

17524

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

17525

\[ {} 9 y^{\prime \prime }-24 y^{\prime }+16 y = 0 \]

17526

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

17527

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

17528

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

17529

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

17530

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

17531

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

17532

\[ {} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]

17533

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

17534

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

17535

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

17536

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

17537

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

17538

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

17539

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

17540

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

17541

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

17542

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

17543

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

17544

\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]

17545

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

17546

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

17560

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

17561

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

17562

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

17633

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

17634

\[ {} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0 \]

17635

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

17636

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

17646

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

17648

\[ {} y^{\prime \prime }-8 y^{\prime }+25 y = 0 \]

17649

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

17650

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

17926

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

17928

\[ {} y^{\prime \prime }+p_{1} y^{\prime }+p_{2} y = 0 \]

17935

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

17981

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

17982

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

18022

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

18110

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

18183

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

18185

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

18186

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

18188

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

18189

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

18190

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

18193

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

18194

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

18209

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

18210

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

18211

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

18212

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

18213

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

18214

\[ {} y^{\prime \prime }-9 y^{\prime }+20 y = 0 \]

18215

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

18216

\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]

18217

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

18218

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

18219

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

18220

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

18221

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

18222

\[ {} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0 \]

18223

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

18224

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

18225

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

18226

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

18227

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

18228

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

18229

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

18230

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

18231

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

18232

\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]

18374

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

18378

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

18438

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

18439

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

18440

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

18441

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

18442

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

18443

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

18444

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

18445

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

18486

\[ {} \theta ^{\prime \prime } = -p^{2} \theta \]

18501

\[ {} \theta ^{\prime \prime }-p^{2} \theta = 0 \]

18502

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

18503

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

18504

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

18520

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

18576

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

18577

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