4.22.4 Problems 301 to 323

Table 4.1335: Higher order, Linear, Homogeneous and non-constant coefficients

#

ODE

Mathematica

Maple

Sympy

20982

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

21319

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

22915

\[ {} y^{\prime \prime \prime } = \frac {24 x +24 y}{x^{3}} \]

23347

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

23362

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

23407

\[ {} \left (x^{3}-1\right ) y^{\prime \prime \prime }-3 y^{\prime \prime }+4 x y = 0 \]

23492

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

23497

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

23502

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

23503

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

23504

\[ {} x^{4} y^{\prime \prime \prime \prime }-5 x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-6 x y^{\prime }+6 y = 0 \]

23505

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

23506

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

23507

\[ {} x^{5} y^{\left (5\right )}-2 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime } = 0 \]

23508

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

23509

\[ {} x^{5} y^{\left (5\right )}+3 x^{3} y^{\prime \prime \prime }-9 x^{2} y^{\prime \prime }+18 x y^{\prime }-18 y = 0 \]

23510

\[ {} x^{6} y^{\left (6\right )}-12 x^{4} y^{\prime \prime \prime \prime } = 0 \]

23511

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

23513

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

23514

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

23668

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

25262

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

25364

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