4.8.15 Problems 1401 to 1433

Table 4.623: Third and higher order ode

#

ODE

Mathematica

Maple

Sympy

19338

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

19339

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

19340

\[ {} y^{\left (5\right )}-n^{2} y^{\prime \prime \prime } = {\mathrm e}^{a x} \]

19341

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

19342

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

19343

\[ {} n \,x^{3} y^{\prime \prime \prime } = y-x y^{\prime } \]

19352

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

19353

\[ {} x^{2} y^{\prime \prime \prime \prime }+1 = 0 \]

19354

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

19361

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

19363

\[ {} \left (x^{3}-4 x \right ) y^{\prime \prime \prime }+\left (9 x^{2}-4\right ) y^{\prime \prime }+18 x y^{\prime }+6 y = 6 \]

19370

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

19371

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

19459

\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0 \]

19460

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

19461

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

19463

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

19465

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

19466

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = {\mathrm e}^{x}+\cos \left (x \right ) \]

19468

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

19507

\[ {} x^{4} y^{\prime \prime \prime }+2 x^{3} y^{\prime \prime }-y^{\prime } x^{2}+x y = 1 \]

19509

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

19510

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

19511

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

19513

\[ {} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+2 y = 10 x +\frac {10}{x} \]

19515

\[ {} \left (2 x -1\right )^{3} y^{\prime \prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y = 0 \]

19517

\[ {} 16 \left (1+x \right )^{4} y^{\prime \prime \prime \prime }+96 \left (1+x \right )^{3} y^{\prime \prime \prime }+104 \left (1+x \right )^{2} y^{\prime \prime }+8 \left (1+x \right ) y^{\prime }+y = x^{2}+4 x +3 \]

19522

\[ {} \left (x^{2}+x +1\right ) y^{\prime \prime \prime }+\left (6 x +3\right ) y^{\prime \prime }+6 y^{\prime } = 0 \]

19523

\[ {} \left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 x y^{\prime }+4 y = \frac {2}{x^{3}} \]

19524

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

19531

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

19540

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

19567

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = {\mathrm e}^{2 x} \]