4.12.20 Problems 1901 to 2000

Table 4.1117: Third and higher order linear ODE

#

ODE

Mathematica

Maple

Sympy

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

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

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

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

24637

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

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

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

24669

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

24670

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

24671

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

24672

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

24673

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

24690

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

24723

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

24724

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

24725

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

24726

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

24727

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

24728

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

24733

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 6 x \,{\mathrm e}^{2 x} \]

24734

\[ {} y^{\prime \prime \prime }+12 y^{\prime \prime }+48 y^{\prime }+64 y = 8 x \,{\mathrm e}^{-4 x} \]

24735

\[ {} y^{\prime \prime \prime }+9 y^{\prime \prime }+27 y^{\prime }+27 y = 15 x^{2} {\mathrm e}^{-3 x} \]

24736

\[ {} y^{\prime \prime \prime }-12 y^{\prime \prime }+48 y^{\prime }-64 y = 15 x^{2} {\mathrm e}^{4 x} \]

24737

\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+9 y^{\prime \prime } = 16 \,{\mathrm e}^{2 x} \]

24738

\[ {} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+9 y^{\prime \prime } = 9 \,{\mathrm e}^{-3 x} \]

24749

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

24750

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

24765

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

24766

\[ {} y^{\prime \prime \prime }+6 y^{\prime \prime }+9 y^{\prime } = {\mathrm e}^{-3 x} \]

24779

\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }-8 y^{\prime \prime } = 48 \,{\mathrm e}^{2 x} \]

24780

\[ {} y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y = 36 \,{\mathrm e}^{3 x} \]

24797

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

24798

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

24799

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