5.25.9 Problems 801 to 900

Table 5.1115: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

17595

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

17596

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

17597

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

17598

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

17599

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

17600

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

17601

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

17602

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

17603

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

17604

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

17605

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

17606

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

17607

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

17608

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

17609

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

17610

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

17611

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

17612

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

17613

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

17614

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

17615

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

17616

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

17617

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

17618

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

17619

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

17620

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

17621

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

17622

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

17623

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

17624

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

17625

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

17639

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

17640

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

17641

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

17712

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

17713

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

17714

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

17715

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

17725

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

17727

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

17728

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

17729

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

18005

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

18007

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

18014

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

18060

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

18061

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

18101

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

18189

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

18262

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

18264

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

18265

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

18267

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

18268

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

18269

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

18272

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

18273

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

18288

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

18289

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

18290

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

18291

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

18292

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

18293

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

18294

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

18295

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

18296

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

18297

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

18298

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

18299

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

18300

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

18301

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

18302

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

18303

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

18304

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

18305

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

18306

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

18307

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

18308

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

18309

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

18310

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

18311

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

18453

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

18457

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

18517

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

18518

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

18519

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

18520

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

18521

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

18522

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

18523

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

18524

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

18565

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

18580

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

18581

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

18582

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

18583

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

18599

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

18655

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

18656

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

18683

\[ {}e y^{\prime \prime } = P \left (-y+a \right ) \]