4.25.9 Problems 801 to 900

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

#

ODE

Mathematica

Maple

Sympy

17523

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

17524

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

17525

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

17526

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

17527

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

17528

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

17529

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

17530

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

17531

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

17532

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

17533

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

17534

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

17535

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

17536

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

17537

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

17538

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

17539

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

17540

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

17541

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

17542

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

17543

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

17544

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

17545

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

17546

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

17547

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

17548

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

17549

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

17550

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

17551

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

17552

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

17553

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

17554

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

17568

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

17569

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

17570

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

17641

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

17642

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

17643

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

17644

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

17654

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

17656

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

17657

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

17658

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

17934

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

17936

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

17943

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

17989

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

17990

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

18030

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

18118

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

18191

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

18193

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

18194

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

18196

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

18197

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

18198

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

18201

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

18202

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

18217

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

18218

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

18219

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

18220

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

18221

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

18222

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

18223

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

18224

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

18225

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

18226

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

18227

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

18228

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

18229

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

18230

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

18231

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

18232

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

18233

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

18234

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

18235

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

18236

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

18237

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

18238

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

18239

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

18240

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

18382

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

18386

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

18446

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

18447

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

18448

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

18449

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

18450

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

18451

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

18452

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

18453

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

18494

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

18509

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

18510

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

18511

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

18512

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

18528

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

18584

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

18585

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