4.20.26 Problems 2501 to 2600

Table 4.953: Second or higher order ODE with constant coefficients

#

ODE

Mathematica

Maple

Sympy

15193

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

15194

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

15201

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

15207

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

15208

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

15213

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

15214

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

15215

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

15217

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

15218

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

15219

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

15220

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

15228

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

15229

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

15230

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

15231

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

15232

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

15233

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

15234

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

15235

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

15236

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

15237

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

15238

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

15239

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

15240

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

15241

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

15242

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

15243

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

15244

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

15245

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

15246

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

15247

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

15248

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

15249

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

15250

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

15251

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

15252

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

15253

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

15254

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

15255

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

15256

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

15257

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

15258

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

15259

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

15260

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

15261

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

15262

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

15263

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

15264

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

15265

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

15266

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

15267

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

15268

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

15269

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

15270

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

15271

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

15272

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

15273

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

15274

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

15275

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

15276

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

15277

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

15278

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

15279

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

15280

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

15281

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

15282

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

15283

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

15284

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

15285

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

15286

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

15287

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

15288

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

15289

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

15290

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

15291

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

15292

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

15293

\[ {} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0 \]

15294

\[ {} y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y = 0 \]

15295

\[ {} y^{\left (6\right )}-2 y^{\prime \prime \prime }+y = 0 \]

15296

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

15297

\[ {} 4 y^{\prime \prime \prime \prime }+15 y^{\prime \prime }-4 y = 0 \]

15298

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+16 y^{\prime }-16 y = 0 \]

15299

\[ {} y^{\left (6\right )}+16 y^{\prime \prime \prime }+64 y = 0 \]

15332

\[ {} y^{\prime \prime }+4 y = 24 \,{\mathrm e}^{2 x} \]

15333

\[ {} y^{\prime \prime }+4 y = 24 \,{\mathrm e}^{2 x} \]

15334

\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 8 x^{2}-3 \]

15335

\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 8 x^{2}-3 \]

15336

\[ {} y^{\prime \prime }-9 y = 36 \]

15337

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = -6 \,{\mathrm e}^{4 x} \]

15338

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 7 \,{\mathrm e}^{5 x} \]

15339

\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 169 \sin \left (2 x \right ) \]

15341

\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime } = 1 \]

15342

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = {\mathrm e}^{4 x} \]

15343

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = {\mathrm e}^{5 x} \]

15344

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = -18 \,{\mathrm e}^{4 x}+14 \,{\mathrm e}^{5 x} \]

15345

\[ {} y^{\prime \prime }-3 y^{\prime }-10 y = 35 \,{\mathrm e}^{5 x}+12 \,{\mathrm e}^{4 x} \]

15353

\[ {} y^{\prime \prime }+9 y = 52 \,{\mathrm e}^{2 x} \]

15354

\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 27 \,{\mathrm e}^{6 x} \]

15355

\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = 30 \,{\mathrm e}^{-4 x} \]