4.4.31 Problems 3001 to 3100

Table 4.475: Second ODE homogeneous ODE

#

ODE

Mathematica

Maple

Sympy

15206

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

15207

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

15208

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

15209

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

15210

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

15211

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

15212

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

15213

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

15214

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

15225

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

15226

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

15227

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

15228

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

15229

\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

15230

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

15231

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

15232

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

15233

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

15234

\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

15235

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

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

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

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

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

15308

\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+8 y = 0 \]

15309

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

15310

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

15311

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

15312

\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]

15313

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

15314

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

15315

\[ {} x^{2} y^{\prime \prime }-19 x y^{\prime }+100 y = 0 \]

15316

\[ {} x^{2} y^{\prime \prime }-5 x y^{\prime }+29 y = 0 \]

15317

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

15318

\[ {} x^{2} y^{\prime \prime }+5 x y^{\prime }+29 y = 0 \]

15319

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

15320

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

15321

\[ {} 4 x^{2} y^{\prime \prime }+37 y = 0 \]

15322

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

15323

\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-25 y = 0 \]

15324

\[ {} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+5 y = 0 \]

15325

\[ {} 3 x^{2} y^{\prime \prime }-7 x y^{\prime }+3 y = 0 \]

15326

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

15327

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

15328

\[ {} x^{2} y^{\prime \prime }-11 x y^{\prime }+36 y = 0 \]

15329

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

15330

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

15331

\[ {} x^{2} y^{\prime \prime }-3 x y^{\prime }+13 y = 0 \]

15464

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

15465

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

15466

\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0 \]

15467

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

15468

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

15469

\[ {} x^{2} y^{\prime \prime }-7 x y^{\prime }+16 y = 0 \]

15472

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

15473

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

15474

\[ {} x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0 \]

15475

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

15477

\[ {} x^{2} y^{\prime \prime }-6 y = 0 \]

15478

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

15479

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

15480

\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0 \]