4.21.8 Problems 701 to 800

Table 4.1325: Higher order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

23457

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

23458

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

23464

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

23465

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

23466

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

23468

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

23548

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

23755

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

24059

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

24068

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

24106

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

24107

\[ {} y^{\left (8\right )}-y = 0 \]

24530

\[ {} y^{\prime \prime \prime }+2 y^{\prime \prime }-15 y^{\prime } = 0 \]

24531

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

24532

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

24533

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

24534

\[ {} 4 y^{\prime \prime \prime }-13 y^{\prime }+6 y = 0 \]

24535

\[ {} 4 y^{\prime \prime \prime }-49 y^{\prime }-60 y = 0 \]

24536

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

24537

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

24538

\[ {} 10 y^{\prime \prime \prime }+y^{\prime \prime }-7 y^{\prime }+2 y = 0 \]

24539

\[ {} 4 y^{\prime \prime \prime }-13 y^{\prime }-6 y = 0 \]

24540

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

24541

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

24542

\[ {} 4 y^{\prime \prime \prime \prime }-15 y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]

24543

\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-13 y^{\prime \prime }+38 y^{\prime }-24 y = 0 \]

24544

\[ {} 6 y^{\prime \prime \prime \prime }+23 y^{\prime \prime \prime }+28 y^{\prime \prime }+13 y^{\prime }+2 y = 0 \]

24545

\[ {} 4 y^{\prime \prime \prime \prime }-45 y^{\prime \prime }-70 y^{\prime }-24 y = 0 \]

24551

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

24554

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

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

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

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

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

24582

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

24583

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

24591

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

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

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

24603

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

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

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

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

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

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

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

25205

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

25260

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

25263

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

25264

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

25265

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

25266

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

25267

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

25268

\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }-25 y^{\prime }+50 y = 0 \]