4.25.6 Problems 501 to 600

Table 4.1103: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

13370

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

13371

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

13372

\[ {} 9 y^{\prime \prime }+6 y^{\prime }+5 y = 0 \]

13373

\[ {} 4 y^{\prime \prime }+4 y^{\prime }+37 y = 0 \]

13575

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

13576

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

13578

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

13607

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

13608

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

13609

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

13610

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

13679

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

13680

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

13681

\[ {} z^{\prime \prime }-4 z^{\prime }+13 z = 0 \]

13682

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

13683

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

13684

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

13685

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

13686

\[ {} 2 z^{\prime \prime }+7 z^{\prime }-4 z = 0 \]

13687

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

13688

\[ {} x^{\prime \prime }+6 x^{\prime }+10 x = 0 \]

13689

\[ {} 4 x^{\prime \prime }-20 x^{\prime }+21 x = 0 \]

13690

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

13691

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

13692

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

13693

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

13735

\[ {} a y^{\prime \prime }+\left (-a +b \right ) y^{\prime }+c y = 0 \]

13909

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

13911

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

13948

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

13949

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

13950

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

13951

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

13952

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

13953

\[ {} 4 y^{\prime \prime }-4 y^{\prime }+37 y = 0 \]

13954

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

13955

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

13956

\[ {} 4 y^{\prime \prime }-12 y^{\prime }+13 y = 0 \]

13957

\[ {} y^{\prime \prime }+4 y^{\prime }+13 y = 0 \]

13958

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

13960

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

13961

\[ {} y^{\prime \prime }-20 y^{\prime }+51 y = 0 \]

13962

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

13963

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

13964

\[ {} 2 y^{\prime \prime }+20 y^{\prime }+51 y = 0 \]

13965

\[ {} 4 y^{\prime \prime }+40 y^{\prime }+101 y = 0 \]

13966

\[ {} y^{\prime \prime }+6 y^{\prime }+34 y = 0 \]

14078

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

14079

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

14080

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

14157

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

14166

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

14167

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

14168

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

14169

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

14170

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

14171

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

14172

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

14173

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

14174

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

14196

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

14242

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

14252

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 0 \]

14253

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

14264

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

14266

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

14269

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

14270

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

14271

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

14272

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

14415

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

14416

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

14419

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

14425

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

14435

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

14451

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

14468

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

14791

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

14792

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

14822

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

14823

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

14824

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

14825

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

14904

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

14906

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

15140

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

15160

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

15174

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

15201

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

15202

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

15209

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

15225

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

15226

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

15227

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

15228

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

15238

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

15239

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

15240

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

15241

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

15244

\[ {} y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]