4.11.7 Problems 601 to 700

Table 4.811: Third and higher order homogeneous ODE

#

ODE

Mathematica

Maple

Sympy

16324

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

16325

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

16326

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

16327

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

16328

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

16329

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

16330

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

16331

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

16332

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

16333

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

16381

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

16382

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

16383

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

16384

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

16385

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

16386

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

16387

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

16388

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

16403

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

16404

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

16405

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

16406

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

16414

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

16415

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

16416

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

16429

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

16430

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

16431

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

16432

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

16433

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

16434

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

16501

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

16502

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

16503

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

16856

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

16857

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

16867

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

16880

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

16883

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

16886

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

16888

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

16890

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

16891

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

16894

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

16895

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

16896

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

16897

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

16898

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

16899

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

16900

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

16901

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

16902

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

17052

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

17053

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

17054

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

17055

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

17122

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

17123

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

17125

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

17126

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

17649

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

17664

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

17665

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

17666

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

17725

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

17727

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

17728

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

17729

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

17731

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

17733

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

17734

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

17737

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

17738

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

17739

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

17740

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

17741

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

17742

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

17901

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

17902

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

17904

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

17918

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

17919

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

17922

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

17923

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

17927

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

17928

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

17929

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

17933

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

17939

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

17940

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

17941

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

17942

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

17944

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

18031

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

18286

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

18287

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

18288

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

18289

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

18290

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

18291

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