6.236 Problems 23501 to 23600

Table 6.471: Main lookup table sequentially arranged

#

ODE

Mathematica

Maple

Sympy

23501

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

23502

\[ {} 8 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0 \]

23503

\[ {} 3 x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = 0 \]

23504

\[ {} x^{4} y^{\prime \prime \prime \prime }-5 x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-6 x y^{\prime }+6 y = 0 \]

23505

\[ {} 2 x^{4} y^{\prime \prime \prime \prime }+3 x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 x y^{\prime }-8 y = 0 \]

23506

\[ {} 2 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-12 x y^{\prime }-2 y = 0 \]

23507

\[ {} x^{5} y^{\left (5\right )}-2 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime } = 0 \]

23508

\[ {} 7 x^{4} y^{\prime \prime \prime \prime }-2 x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-6 x y^{\prime }+6 y = 0 \]

23509

\[ {} x^{5} y^{\left (5\right )}+3 x^{3} y^{\prime \prime \prime }-9 x^{2} y^{\prime \prime }+18 x y^{\prime }-18 y = 0 \]

23510

\[ {} x^{6} y^{\left (6\right )}-12 x^{4} y^{\prime \prime \prime \prime } = 0 \]

23511

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

23512

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

23513

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

23514

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

23515

\[ {} 3 x y^{\prime \prime }-4 y^{\prime }+\frac {5 y}{x} = 0 \]

23516

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

23517

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

23518

\[ {} y^{\prime \prime }+\frac {5 y^{\prime }}{x -1}+\frac {4 y}{\left (x -1\right )^{2}} = 0 \]

23519

\[ {} 5 y^{\prime \prime }+\frac {3 y^{\prime }}{x -3}+\frac {3 y}{\left (x -3\right )^{2}} = 0 \]

23520

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

23521

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

23522

\[ {} x^{3} y^{\prime \prime }+\left (5 x^{3}-x^{2}\right ) y^{\prime }+2 \left (3 x^{3}-x^{2}\right ) y = 0 \]

23523

\[ {} x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }-y = 0 \]

23524

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

23525

\[ {} x y^{\prime \prime }+\left (x -1\right ) y^{\prime }+\left (3-12 x \right ) y = 0 \]

23526

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

23527

\[ {} y^{\prime \prime }+\frac {2 y^{\prime }}{x}+\frac {9 y}{x^{4}} = 0 \]

23528

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

23529

\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-7 x y^{\prime }+7 y = 0 \]

23530

\[ {} y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{4}/{3}}}-\frac {6}{x^{2}}\right ) y = 0 \]

23531

\[ {} x \left (x -2\right ) y^{\prime \prime }-2 \left (x^{2}-3 x +3\right ) y^{\prime }+\left (x^{2}-4 x +6\right ) y = 0 \]

23532

\[ {} x \left (1-3 x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+9 x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (3+9 x \right ) y = 0 \]

23533

\[ {} y^{\prime \prime }-\left (1+\frac {3}{2 x}\right ) y^{\prime }+\frac {3 y}{2 x^{2}} = 0 \]

23534

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

23535

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

23536

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

23537

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

23538

\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+12 y = 0 \]

23539

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

23540

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

23541

\[ {} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+3 y = 0 \]

23542

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

23543

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

23544

\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+9 y = 0 \]

23545

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

23546

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

23547

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

23548

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

23549

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

23550

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

23551

\[ {} y^{\prime \prime }+y^{\prime }+y \,{\mathrm e}^{x} = 0 \]

23552

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

23553

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

23554

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

23555

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

23556

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

23557

\[ {} y^{\prime \prime \prime }+4 y^{\prime \prime }+2 y^{\prime }-x^{3} y = 0 \]

23558

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

23559

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

23560

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

23561

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

23562

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

23563

\[ {} \left (x^{2}+2\right ) y^{\prime \prime }-3 x y^{\prime }+4 y = 0 \]

23564

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

23565

\[ {} \left (2 x^{2}+1\right ) y^{\prime \prime }+3 y^{\prime }-x y = 0 \]

23566

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

23567

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

23568

\[ {} \left (1+x \right ) y^{\prime \prime }+3 y^{\prime }-2 x^{2} y = 0 \]

23569

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

23570

\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = x^{2}+3 \]

23571

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

23572

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

23573

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

23574

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

23575

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

23576

\[ {} y^{\prime \prime }-13 y^{\prime }+36 y = x \,{\mathrm e}^{4 x} \]

23577

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

23578

\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = x^{2} {\mathrm e}^{5 x} \]

23579

\[ {} y^{\prime \prime \prime }-y = 3 \ln \left (x \right ) \]

23580

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

23581

\[ {} x^{2} y^{\prime \prime }+4 x y^{\prime }-10 y = x \ln \left (x \right ) \]

23582

\[ {} 3 x^{2} y^{\prime \prime }-2 x y^{\prime }-8 y = 5+3 x \]

23583

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

23584

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

23585

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

23586

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

23587

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

23588

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

23589

\[ {} y^{\prime \prime }-3 y = \cos \left (x \right ) \]

23590

\[ {} 3 x y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime } = 3 \cos \left (x \right ) \]

23591

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

23592

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

23593

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

23594

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

23595

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

23596

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

23597

\[ {} y^{\left (6\right )}-3 y^{\prime \prime \prime \prime } = 1 \]

23598

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

23599

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

23600

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