4.20.52 Problems 5101 to 5200

Table 4.1301: Second or higher order ODE with constant coefficients

#

ODE

Mathematica

Maple

Sympy

24555

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

24556

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

24557

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

24558

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

24559

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

24560

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

24561

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

24562

\[ {} 4 y^{\prime \prime \prime }-27 y^{\prime }+27 y = 0 \]

24563

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

24564

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

24565

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

24566

\[ {} y^{\left (5\right )}-16 y^{\prime \prime \prime } = 0 \]

24567

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

24568

\[ {} 4 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-23 y^{\prime \prime }+12 y^{\prime }+36 y = 0 \]

24569

\[ {} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-6 y^{\prime \prime }-28 y^{\prime }-24 y = 0 \]

24570

\[ {} 27 y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+8 y^{\prime }-y = 0 \]

24571

\[ {} 4 y^{\left (5\right )}-23 y^{\prime \prime \prime }-33 y^{\prime \prime }-17 y^{\prime }-3 y = 0 \]

24572

\[ {} 4 y^{\left (5\right )}-15 y^{\prime \prime \prime }-5 y^{\prime \prime }+15 y^{\prime }+9 y = 0 \]

24573

\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }-6 y^{\prime }-2 y = 0 \]

24574

\[ {} y^{\left (5\right )}-5 y^{\prime \prime \prime \prime }+7 y^{\prime \prime \prime }+y^{\prime \prime }-8 y^{\prime }+4 y = 0 \]

24575

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

24576

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

24577

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

24578

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

24579

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

24580

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

24581

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

24582

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

24583

\[ {} y^{\prime \prime \prime }+5 y^{\prime \prime }+3 y^{\prime }-9 y = 0 \]

24584

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

24585

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

24586

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

24587

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

24588

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

24589

\[ {} y^{\prime \prime }+6 y^{\prime }+13 y = 0 \]

24590

\[ {} y^{\prime \prime }-4 y^{\prime }+7 y = 0 \]

24591

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

24592

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

24593

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

24594

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

24595

\[ {} y^{\prime \prime \prime }+7 y^{\prime \prime }+19 y^{\prime }+13 y = 0 \]

24596

\[ {} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }-11 y^{\prime \prime }-8 y^{\prime }+12 y = 0 \]

24597

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

24598

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

24599

\[ {} 2 y^{\prime \prime \prime \prime }+11 y^{\prime \prime \prime }-4 y^{\prime \prime }-69 y^{\prime }+34 y = 0 \]

24600

\[ {} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0 \]

24601

\[ {} 2 y^{\prime \prime \prime }-y^{\prime \prime }+36 y^{\prime }-18 y = 0 \]

24602

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

24603

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

24604

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

24605

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

24606

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

24607

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

24608

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

24609

\[ {} 4 y^{\prime \prime \prime }+8 y^{\prime \prime }-11 y^{\prime }+3 y = 0 \]

24610

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

24611

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

24612

\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }-3 y^{\prime }+10 y = 0 \]

24613

\[ {} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime } = 0 \]

24614

\[ {} 4 y^{\prime \prime \prime }+28 y^{\prime \prime }+61 y^{\prime }+37 y = 0 \]

24615

\[ {} 4 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime }+10 y = 0 \]

24616

\[ {} 18 y^{\prime \prime \prime }-33 y^{\prime \prime }+20 y^{\prime }-4 y = 0 \]

24617

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

24618

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

24619

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

24620

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

24621

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

24622

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

24623

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

24624

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

24625

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

24626

\[ {} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-9 y^{\prime \prime \prime }-13 y^{\prime \prime }+8 y^{\prime }+12 y = 0 \]

24627

\[ {} y^{\prime \prime \prime \prime }-11 y^{\prime \prime \prime }+36 y^{\prime \prime }-16 y^{\prime }-64 y = 0 \]

24628

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

24629

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

24630

\[ {} 4 y^{\prime \prime \prime \prime }-24 y^{\prime \prime \prime }+35 y^{\prime \prime }+6 y^{\prime }-9 y = 0 \]

24631

\[ {} 4 y^{\prime \prime \prime \prime }+20 y^{\prime \prime \prime }+35 y^{\prime \prime }+25 y^{\prime }+6 y = 0 \]

24632

\[ {} y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+11 y^{\prime \prime }+5 y^{\prime }-14 y = 0 \]

24633

\[ {} y^{\prime \prime \prime }+5 y^{\prime \prime }+7 y^{\prime }+3 y = 0 \]

24634

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

24635

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

24636

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

24637

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

24638

\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = 20 \]

24639

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

24640

\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+4 y = 14 \]

24641

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

24642

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

24643

\[ {} y^{\prime \prime \prime }-7 y^{\prime \prime }+14 y^{\prime }-8 y = 2 \]

24644

\[ {} y^{\prime \prime \prime }+9 y^{\prime } = 11 \]

24645

\[ {} y^{\prime \prime \prime }+9 y^{\prime \prime } = 11 \]

24646

\[ {} y^{\prime \prime \prime \prime }+9 y^{\prime \prime \prime } = 11 \]

24647

\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime } = 12 \]

24648

\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime } = 12 \]

24649

\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime } = 12 \]

24650

\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime } = 12 \]

24651

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

24652

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

24653

\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 27 x^{2} \]

24654

\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = -6 x^{2}-8 x +4 \]