4.11.8 Problems 701 to 800

Table 4.1069: Third and higher order homogeneous ODE

#

ODE

Mathematica

Maple

Sympy

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

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

16829

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

16834

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

16847

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

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

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

17739

\[ {} x^{3} y^{\prime \prime \prime }+22 x^{2} y^{\prime \prime }+124 x y^{\prime }+140 y = 0 \]

17740

\[ {} x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }-46 x y^{\prime }+100 y = 0 \]

17741

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

17742

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

17743

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

17744

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

17745

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

17746

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

17761

\[ {} x^{3} y^{\prime \prime \prime }+10 x^{2} y^{\prime \prime }-20 x y^{\prime }+20 y = 0 \]

17762

\[ {} x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+54 x y^{\prime }+42 y = 0 \]

17763

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

17764

\[ {} x^{3} y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+17 x y^{\prime }-17 y = 0 \]

17772

\[ {} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+37 x y^{\prime } = 0 \]

17773

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

17774

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

17787

\[ {} x^{3} y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime }+79 x y^{\prime }+125 y = 0 \]

17788

\[ {} x^{4} y^{\prime \prime \prime \prime }+5 x^{3} y^{\prime \prime \prime }-12 x^{2} y^{\prime \prime }-12 x y^{\prime }+48 y = 0 \]

17789

\[ {} x^{4} y^{\prime \prime \prime \prime }+14 x^{3} y^{\prime \prime \prime }+55 x^{2} y^{\prime \prime }+65 x y^{\prime }+15 y = 0 \]

17790

\[ {} x^{4} y^{\prime \prime \prime \prime }+8 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+35 x y^{\prime }+45 y = 0 \]

17791

\[ {} x^{4} y^{\prime \prime \prime \prime }+10 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+21 x y^{\prime }+4 y = 0 \]

17792

\[ {} x^{3} y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }+44 x y^{\prime }+58 y = 0 \]

17859

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

17860

\[ {} 9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime } = 0 \]

17861

\[ {} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime } = 0 \]

18214

\[ {} y^{\prime \prime \prime } = \sqrt {1-{y^{\prime \prime }}^{2}} \]

18215

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

18225

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

18238

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

18241

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

18244

\[ {} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 0 \]

18246

\[ {} y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime } = 0 \]

18248

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

18249

\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+10 y^{\prime \prime }+12 y^{\prime }+5 y = 0 \]