4.25.12 Problems 1101 to 1200

Table 4.1485: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

22401

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

22402

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

22403

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

22415

\[ {} s^{\prime \prime } = -9 s \]

22429

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

22432

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

22450

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

22601

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

22603

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

22731

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

22744

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

22745

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

22746

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

22748

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

22750

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

22751

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

22755

\[ {} y^{\prime \prime }-\left (m_{1} +m_{2} \right ) y^{\prime }+m_{1} m_{2} y = 0 \]

22758

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

22759

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

22760

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

22764

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

22766

\[ {} s^{\prime \prime }+16 s^{\prime }+64 s = 0 \]

22770

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

22771

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

22772

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

22773

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

22776

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

22777

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

22778

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

22784

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

22792

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

22793

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

22794

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

22797

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

22800

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

22919

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

22925

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

22932

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

23115

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

23116

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

23117

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

23118

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

23119

\[ {} 3 x^{\prime \prime }+19 x^{\prime }-14 x = 0 \]

23120

\[ {} 8 y^{\prime \prime }-10 y^{\prime }+3 y = 0 \]

23121

\[ {} y^{\prime \prime }-9 y^{\prime }+18 y = 0 \]

23122

\[ {} y^{\prime \prime }-2 y^{\prime }-63 y = 0 \]

23123

\[ {} 20 y^{\prime \prime }-3 y^{\prime }-2 y = 0 \]

23124

\[ {} 35 y^{\prime \prime }-29 y^{\prime }+6 y = 0 \]

23125

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

23126

\[ {} 12 x^{\prime \prime }-25 x^{\prime }+12 x = 0 \]

23127

\[ {} 38 x^{\prime \prime }+10 x^{\prime }-3 x = 0 \]

23128

\[ {} 2 y^{\prime \prime }-15 y^{\prime }+27 y = 0 \]

23129

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

23130

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

23131

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

23132

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

23133

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

23134

\[ {} x^{\prime \prime }+36 x = 0 \]

23135

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

23136

\[ {} z^{\prime \prime }+g z = 0 \]

23137

\[ {} 9 y^{\prime \prime }+49 y = 0 \]

23138

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

23139

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

23140

\[ {} z^{\prime \prime }-7 z^{\prime }-13 z = 0 \]

23141

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

23142

\[ {} y^{\prime \prime }-5 y^{\prime }+8 y = 0 \]

23143

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

23144

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

23145

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

23146

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

23147

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

23170

\[ {} s^{\prime \prime } = -9 s \]

23213

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

23214

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

23215

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

23216

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

23226

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

23345

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

23349

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

23369

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

23382

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

23383

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

23384

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

23386

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

23387

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

23388

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

23389

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

23392

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

23396

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

23397

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

23399

\[ {} 3 y^{\prime \prime }+48 y^{\prime }+192 y = 0 \]

23409

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

23417

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

23418

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

23422

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

23429

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

23430

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

23431

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

23432

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

23433

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