5.3.49 Problems 4801 to 4900

Table 5.381: Second order ode

#

ODE

Mathematica

Maple

15312

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

15315

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

15316

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

15317

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

15318

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

15319

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

15320

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

15321

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

15322

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

15323

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

15324

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

15325

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

15326

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

15327

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

15328

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

15329

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

15330

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

15331

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

15332

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

15333

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

15334

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

15335

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

15336

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

15337

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

15338

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

15339

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

15340

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

15341

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

15342

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

15343

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

15344

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

15345

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

15346

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

15347

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

15348

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

15349

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

15350

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

15351

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

15352

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

15379

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

15380

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

15381

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

15382

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

15383

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

15384

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

15385

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

15386

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

15387

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

15388

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

15389

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

15390

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

15391

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

15392

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

15393

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

15394

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

15395

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

15396

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

15397

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

15398

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

15399

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

15400

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

15401

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

15402

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

15411

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

15412

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

15413

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

15414

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

15415

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

15416

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

15417

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

15418

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

15419

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 10 x +12 \]

15421

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

15422

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

15423

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

15424

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

15425

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 1 \]

15426

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

15427

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 22 x +24 \]

15428

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = x^{2} \]

15429

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = x \]

15430

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 1 \]

15431

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 4 x^{2}+2 x +3 \]

15432

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

15433

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

15434

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

15435

\[ {}y^{\prime \prime }+3 y^{\prime } = {\mathrm e}^{\frac {x}{2}} \]

15436

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

15437

\[ {}y^{\prime \prime }+9 y = 10 \cos \left (2 x \right )+15 \sin \left (2 x \right ) \]

15438

\[ {}y^{\prime \prime }-6 y^{\prime }+9 y = 25 \sin \left (6 x \right ) \]

15439

\[ {}y^{\prime \prime }+3 y^{\prime } = 26 \cos \left (\frac {x}{3}\right )-12 \sin \left (\frac {x}{3}\right ) \]

15440

\[ {}y^{\prime \prime }+4 y^{\prime }-5 y = \cos \left (x \right ) \]

15441

\[ {}y^{\prime \prime }-3 y^{\prime }-10 y = -4 \cos \left (x \right )+7 \sin \left (x \right ) \]

15442

\[ {}y^{\prime \prime }-3 y^{\prime }-10 y = -200 \]

15443

\[ {}y^{\prime \prime }+4 y^{\prime }-5 y = x^{3} \]

15444

\[ {}y^{\prime \prime }-6 y^{\prime }+9 y = 18 x^{2}+3 x +4 \]

15445

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

15446

\[ {}y^{\prime \prime }+9 y = x^{3} \]

15447

\[ {}y^{\prime \prime }+9 y = 25 x \cos \left (2 x \right ) \]

15448

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