6.153 Problems 15201 to 15300

Table 6.305: Main lookup table sequentially arranged

#

ODE

Mathematica

Maple

Sympy

15201

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

15202

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

15203

\[ {} x^{2} y^{\prime \prime }-6 x y^{\prime }+12 y = 0 \]

15204

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

15205

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

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

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

15215

\[ {} y^{\prime \prime }-4 y^{\prime }+3 y = 9 \,{\mathrm e}^{2 x} \]

15216

\[ {} y^{\prime \prime }-6 y^{\prime }+8 y = {\mathrm e}^{4 x} \]

15217

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

15218

\[ {} x^{2} y^{\prime \prime }-20 y = 27 x^{5} \]

15219

\[ {} x y^{\prime \prime }+\left (2 x +2\right ) y^{\prime }+2 y = 8 \,{\mathrm e}^{2 x} \]

15220

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

15221

\[ {} y^{\prime \prime \prime }-9 y^{\prime \prime }+27 y^{\prime }-27 y = 0 \]

15222

\[ {} y^{\prime \prime \prime }-9 y^{\prime \prime }+27 y^{\prime }-27 y = {\mathrm e}^{3 x} \sin \left (x \right ) \]

15223

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+16 y = 0 \]

15224

\[ {} x^{3} y^{\prime \prime \prime }-4 y^{\prime \prime }+10 y^{\prime }-12 y = 0 \]

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

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

15236

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

15237

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

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

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

15242

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

15243

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

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

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

15282

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

15283

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

15284

\[ {} y^{\prime \prime \prime \prime }-34 y^{\prime \prime }+225 y = 0 \]

15285

\[ {} y^{\prime \prime \prime \prime }-81 y = 0 \]

15286

\[ {} y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y = 0 \]

15287

\[ {} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = 0 \]

15288

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

15289

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]

15290

\[ {} y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y = 0 \]

15291

\[ {} y^{\prime \prime \prime }-9 y^{\prime \prime }+31 y^{\prime }-39 y = 0 \]

15292

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

15293

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }+18 y^{\prime }+9 y = 0 \]

15294

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

15295

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]

15296

\[ {} y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y = 0 \]

15297

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

15298

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

15299

\[ {} y^{\prime \prime \prime }+216 y = 0 \]

15300

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