4.12.12 Problems 1101 to 1200

Table 4.1101: Third and higher order linear ODE

#

ODE

Mathematica

Maple

Sympy

16651

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }+18 y^{\prime }+9 y = 0 \]

16652

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

16653

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

16654

\[ {} y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y = 0 \]

16655

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

16656

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

16657

\[ {} y^{\prime \prime \prime }+216 y = 0 \]

16658

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

16659

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

16660

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

16661

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

16662

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

16663

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

16664

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+16 y^{\prime }-16 y = 0 \]

16665

\[ {} y^{\left (6\right )}+16 y^{\prime \prime \prime }+64 y = 0 \]

16690

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

16691

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

16692

\[ {} x^{3} y^{\prime \prime \prime }-5 x^{2} y^{\prime \prime }+14 x y^{\prime }-18 y = 0 \]

16693

\[ {} -8 y+7 x y^{\prime }-3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0 \]

16694

\[ {} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+9 x y^{\prime }+16 y = 0 \]

16695

\[ {} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 0 \]

16696

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

16697

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

16707

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

16774

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 12 \,{\mathrm e}^{-2 x} \]

16775

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

16776

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 32 \,{\mathrm e}^{4 x} \]

16777

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 32 x \]

16778

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

16779

\[ {} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 30 \cos \left (2 x \right ) \]

16780

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

16781

\[ {} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} {\mathrm e}^{3 x} \]

16782

\[ {} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = \sin \left (3 x \right ) x^{2} \]

16783

\[ {} y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} {\mathrm e}^{3 x} \sin \left (3 x \right ) \]

16784

\[ {} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 30 x \cos \left (2 x \right ) \]

16785

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

16786

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

16787

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

16816

\[ {} -4 y^{\prime }+y^{\prime \prime \prime } = 30 \,{\mathrm e}^{3 x} \]

16817

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

16818

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

16819

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

16820

\[ {} y^{\prime \prime \prime \prime }-81 y = \sinh \left (x \right ) \]

16821

\[ {} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 12 x \sin \left (x^{2}\right ) \]

16829

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

16834

\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime } = 0 \]

16844

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

16847

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

16868

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

16869

\[ {} y^{\left (6\right )}-64 y = {\mathrm e}^{-2 x} \]

16884

\[ {} y^{\prime \prime \prime }-27 y = {\mathrm e}^{-3 t} \]

16932

\[ {} y^{\prime \prime \prime }+9 y^{\prime } = \delta \left (t -1\right ) \]

16933

\[ {} y^{\prime \prime \prime \prime }-16 y = \delta \left (t \right ) \]

17070

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

17085

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

17086

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

17111

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

17112

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

17126

\[ {} y^{\prime \prime \prime \prime }+\frac {25 y^{\prime \prime }}{2}-5 y^{\prime }+\frac {629 y}{16} = 0 \]

17654

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

17655

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

17656

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

17657

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

17658

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

17659

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

17660

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

17661

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

17662

\[ {} 5 y^{\prime \prime \prime }-15 y^{\prime }+11 y = 0 \]

17663

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

17664

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

17665

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

17666

\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }-y^{\prime \prime }+54 y^{\prime }-72 y = 0 \]

17667

\[ {} y^{\prime \prime \prime \prime }+7 y^{\prime \prime \prime }+6 y^{\prime \prime }-32 y^{\prime }-32 y = 0 \]

17668

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

17669

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

17670

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

17671

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

17672

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

17673

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

17674

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

17675

\[ {} y^{\left (6\right )}+12 y^{\prime \prime \prime \prime }+48 y^{\prime \prime }+64 y = 0 \]

17676

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

17677

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

17678

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

17679

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

17680

\[ {} 24 y^{\prime \prime \prime }-26 y^{\prime \prime }+9 y^{\prime }-y = 0 \]

17681

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

17682

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

17683

\[ {} 8 y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+66 y^{\prime \prime \prime }-41 y^{\prime \prime }-37 y^{\prime } = 0 \]

17684

\[ {} 2 y^{\left (5\right )}+7 y^{\prime \prime \prime \prime }+17 y^{\prime \prime \prime }+17 y^{\prime \prime }+5 y^{\prime } = 0 \]

17685

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

17686

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

17687

\[ {} y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y = 0 \]

17688

\[ {} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+60 y^{\prime \prime }+124 y^{\prime }+75 y = 0 \]

17689

\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+6 y = 0 \]

17690

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+30 y^{\prime \prime }-56 y^{\prime }+49 y = 0 \]

17691

\[ {} \frac {31 y^{\prime \prime \prime }}{100}+\frac {56 y^{\prime \prime }}{5}-\frac {49 y^{\prime }}{5}+\frac {53 y}{10} = 0 \]

17693

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

17694

\[ {} y^{\prime \prime \prime \prime }-16 y = 1 \]

17695

\[ {} y^{\left (5\right )}-y^{\prime \prime \prime \prime } = 1 \]