4.25.7 Problems 601 to 700

Table 4.1105: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

15245

\[ {} y^{\prime \prime }+2 y^{\prime }-24 y = 0 \]

15246

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

15247

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

15248

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

15249

\[ {} 3 y^{\prime \prime }+7 y^{\prime }-6 y = 0 \]

15250

\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]

15251

\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]

15252

\[ {} y^{\prime \prime }-8 y^{\prime }+15 y = 0 \]

15253

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

15254

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

15255

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

15256

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

15257

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

15258

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

15259

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

15260

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

15261

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

15262

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

15263

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

15264

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

15265

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

15266

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

15267

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

15268

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

15269

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

15270

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

15271

\[ {} y^{\prime \prime }-4 y^{\prime }+29 y = 0 \]

15272

\[ {} 9 y^{\prime \prime }+18 y^{\prime }+10 y = 0 \]

15273

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

15274

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

15275

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

15276

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

15277

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

15278

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

15279

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

15280

\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]

15281

\[ {} y^{\prime \prime }-y^{\prime }+\left (\frac {1}{4}+4 \pi ^{2}\right ) y = 0 \]

15464

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

15465

\[ {} y^{\prime \prime }-12 y^{\prime }+36 y = 0 \]

15467

\[ {} y^{\prime \prime }-36 y = 0 \]

15468

\[ {} y^{\prime \prime }-9 y^{\prime }+14 y = 0 \]

15472

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

15473

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

15478

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

15481

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

15483

\[ {} y^{\prime \prime }+y^{\prime }-30 y = 0 \]

15484

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

15491

\[ {} y^{\prime \prime }+20 y^{\prime }+100 y = 0 \]

15493

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

15528

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

15531

\[ {} y^{\prime \prime }-8 y^{\prime }+17 y = 0 \]

15533

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

15534

\[ {} y^{\prime \prime }+8 y^{\prime }+17 y = 0 \]

15722

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

15723

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

15724

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

15726

\[ {} y^{\prime \prime }-12 y^{\prime }+40 y = 0 \]

15751

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

15752

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

15764

\[ {} 16 y^{\prime \prime }+24 y^{\prime }+153 y = 0 \]

15773

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

15774

\[ {} y^{\prime \prime }-6 y^{\prime }+45 y = 0 \]

16106

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

16107

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

16109

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

16110

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

16111

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

16115

\[ {} y^{\prime \prime }+10 y^{\prime }+24 y = 0 \]

16116

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

16117

\[ {} y^{\prime \prime }+6 y^{\prime }+18 y = 0 \]

16119

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

16120

\[ {} y^{\prime \prime }+6 y^{\prime }+8 y = 0 \]

16121

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

16122

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

16123

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

16124

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

16129

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

16134

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

16135

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

16136

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

16137

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

16138

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

16139

\[ {} y^{\prime \prime }+8 y^{\prime }+12 y = 0 \]

16140

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

16141

\[ {} 8 y^{\prime \prime }+6 y^{\prime }+y = 0 \]

16142

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

16143

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

16144

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

16145

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

16146

\[ {} 4 y^{\prime \prime }+21 y^{\prime }+5 y = 0 \]

16147

\[ {} 7 y^{\prime \prime }+4 y^{\prime }-3 y = 0 \]

16148

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

16149

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

16150

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

16151

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

16152

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

16153

\[ {} y^{\prime \prime }-7 y^{\prime }+12 y = 0 \]

16154

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

16155

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

16156

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