4.11.7 Problems 601 to 700

Table 4.811: Third and higher order homogeneous ODE

#

ODE

Mathematica

Maple

Sympy

16316

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

16317

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

16318

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

16319

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

16320

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

16321

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

16322

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

16323

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

16324

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

16325

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

16373

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

16374

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

16375

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

16376

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

16377

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

16378

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

16379

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

16380

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

16395

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

16396

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

16397

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

16398

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

16406

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

16407

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

16408

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

16421

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

16422

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

16423

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

16424

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

16425

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

16426

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

16493

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

16494

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

16495

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

16848

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

16849

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

16859

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

16872

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

16875

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

16878

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

16880

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

16882

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

16883

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

16886

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

16887

\[ {} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y = 0 \]

16888

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

16889

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

16890

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

16891

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

16892

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

16893

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

16894

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

17044

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

17045

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

17046

\[ {} \left (1+x \right )^{2} y^{\prime \prime \prime }-12 y^{\prime } = 0 \]

17047

\[ {} \left (2 x +1\right )^{2} y^{\prime \prime \prime }+2 \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } = 0 \]

17114

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

17115

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

17117

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

17118

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

17641

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

17656

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

17657

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

17658

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

17717

\[ {} t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+4 t^{2} y = 0 \]

17719

\[ {} \left (x -4\right ) y^{\prime \prime \prime \prime }+\left (1+x \right ) y^{\prime \prime }+\tan \left (x \right ) y = 0 \]

17720

\[ {} \left (x^{2}-2\right ) y^{\left (6\right )}+x^{2} y^{\prime \prime }+3 y = 0 \]

17721

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

17723

\[ {} t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+7 t^{2} y = 0 \]

17725

\[ {} \left (x -1\right ) y^{\prime \prime \prime \prime }+\left (x +5\right ) y^{\prime \prime }+\tan \left (x \right ) y = 0 \]

17726

\[ {} \left (x^{2}-25\right ) y^{\left (6\right )}+x^{2} y^{\prime \prime }+5 y = 0 \]

17729

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

17730

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

17731

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

17732

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

17733

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

17734

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

17893

\[ {} a^{3} y^{\prime \prime \prime } y^{\prime \prime } = \sqrt {1+c^{2} {y^{\prime \prime }}^{2}} \]

17894

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

17896

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

17910

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

17911

\[ {} 40 {y^{\prime \prime \prime }}^{3}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+9 {y^{\prime \prime }}^{2} y^{\left (5\right )} = 0 \]

17914

\[ {} 2 x^{3} y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+12 x y^{\prime }-12 y = 0 \]

17915

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

17919

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

17920

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

17921

\[ {} \left (-x^{2}+1\right ) y^{\prime \prime \prime }-x y^{\prime \prime }+y^{\prime } = 0 \]

17925

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

17931

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

17932

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

17933

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

17934

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

17936

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

18023

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

18278

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

18279

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

18280

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

18281

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

18282

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

18283

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