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ODE |
Mathematica |
Maple |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = x^{2} \cos \left (x \right )
\] |
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\[
{}y^{\prime \prime \prime \prime }+16 y = x \,{\mathrm e}^{\sqrt {2}\, x} \sin \left (\sqrt {2}\, x \right )+{\mathrm e}^{-\sqrt {2}\, x} \cos \left (\sqrt {2}\, x \right )
\] |
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\[
{}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = \cos \left (x \right )^{2}-\cosh \left (x \right )
\] |
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\[
{}y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y = \sin \left (x \right ) \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+y = \cot \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \tan \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right )^{3}
\] |
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\[
{}y^{\prime \prime }+4 y = \sec \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }+y = \tan \left (x \right ) \sec \left (x \right )
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+5 y = {\mathrm e}^{-2 x} \sec \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{x} \tan \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = \frac {{\mathrm e}^{-3 x}}{x^{3}}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x} \ln \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \sec \left (x \right ) \csc \left (x \right )
\] |
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\[
{}y^{\prime \prime }+y = \tan \left (x \right )^{3}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = \frac {1}{1+{\mathrm e}^{x}}
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = \frac {1}{1+{\mathrm e}^{2 x}}
\] |
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\[
{}y^{\prime \prime }+y = \frac {1}{\sin \left (x \right )+1}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x} \arcsin \left (x \right )
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = \frac {{\mathrm e}^{-x}}{x}
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = x \ln \left (x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }-6 x y^{\prime }+10 y = 3 x^{4}+6 x^{3}
\] |
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\[
{}\left (1+x \right )^{2} y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = 1
\] |
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\[
{}\left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = \left (x +2\right )^{2}
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = x^{3}
\] |
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\[
{}x \left (x -2\right ) y^{\prime \prime }-\left (x^{2}-2\right ) y^{\prime }+2 \left (x -1\right ) y = 3 x^{2} \left (x -2\right )^{2} {\mathrm e}^{x}
\] |
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\[
{}\left (2 x +1\right ) \left (1+x \right ) y^{\prime \prime }+2 x y^{\prime }-2 y = \left (2 x +1\right )^{2}
\] |
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\[
{}\sin \left (x \right )^{2} y^{\prime \prime }-2 \sin \left (x \right ) \cos \left (x \right ) y^{\prime }+\left (\cos \left (x \right )^{2}+1\right ) y = \sin \left (x \right )^{3}
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = {\mathrm e}^{x} x^{2}
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }-4 x y^{\prime }+3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+13 y = 0
\] |
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\[
{}3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0
\] |
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\[
{}9 x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-5 x y^{\prime }+10 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-10 x y^{\prime }-8 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-6 x y^{\prime }+18 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 4 x -6
\] |
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\[
{}x^{2} y^{\prime \prime }-5 x y^{\prime }+8 y = 2 x^{3}
\] |
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\[
{}x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 4 \ln \left (x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 2 x \ln \left (x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 4 \sin \left (\ln \left (x \right )\right )
\] |
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\[
{}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = x^{3}
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }-10 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+5 x y^{\prime }+3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-2 y = 4 x -8
\] |
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\[
{}x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = -6 x^{3}+4 x^{2}
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 10 x^{2}
\] |
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\[
{}x^{2} y^{\prime \prime }-5 x y^{\prime }+8 y = 2 x^{3}
\] |
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\[
{}x^{2} y^{\prime \prime }-6 y = \ln \left (x \right )
\] |
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\[
{}\left (x +2\right )^{2} y^{\prime \prime }-\left (x +2\right ) y^{\prime }-3 y = 0
\] |
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\[
{}\left (2 x -3\right )^{2} y^{\prime \prime }-6 \left (2 x -3\right ) y^{\prime }+12 y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+8 x y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+\left (2 x^{2}+1\right ) y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+\left (x^{2}-4\right ) y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+\left (3 x +2\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }+\left (3 x -2\right ) y = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+x y = 0
\] |
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\[
{}\left (x -1\right ) y^{\prime \prime }-\left (3 x -2\right ) y^{\prime }+2 x y = 0
\] |
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\[
{}\left (x^{3}-1\right ) y^{\prime \prime }+x^{2} y^{\prime }+x y = 0
\] |
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\[
{}\left (x +3\right ) y^{\prime \prime }+\left (x +2\right ) y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-x y^{\prime }-y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }-2 y = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+2 x y = 0
\] |
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\[
{}\left (2 x^{2}-3\right ) y^{\prime \prime }-2 x y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }-y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }+2 y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+n \left (n +1\right ) y = 0
\] |
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\[
{}\left (x^{2}-3 x \right ) y^{\prime \prime }+\left (x +2\right ) y^{\prime }+y = 0
\] |
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\[
{}\left (x^{3}+x^{2}\right ) y^{\prime \prime }+\left (x^{2}-2 x \right ) y^{\prime }+4 y = 0
\] |
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\[
{}\left (x^{4}-2 x^{3}+x^{2}\right ) y^{\prime \prime }+2 \left (x -1\right ) y^{\prime }+x^{2} y = 0
\] |
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\[
{}\left (x^{5}+x^{4}-6 x^{3}\right ) y^{\prime \prime }+x^{2} y^{\prime }+\left (x -2\right ) y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+x y^{\prime }+\left (2 x^{2}-3\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+\frac {8}{9}\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+\left (2 x^{2}+\frac {5}{9}\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y = 0
\] |
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\[
{}2 x y^{\prime \prime }+y^{\prime }+2 y = 0
\] |
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\[
{}3 x y^{\prime \prime }-\left (x -2\right ) y^{\prime }-2 y = 0
\] |
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\[
{}x y^{\prime \prime }+2 y^{\prime }+x y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+\left (x^{4}+x \right ) y^{\prime }-y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (x^{2}+2\right ) y^{\prime }+x y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y = 0
\] |
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\[
{}\left (2 x^{2}-x \right ) y^{\prime \prime }+\left (2 x -2\right ) y^{\prime }+\left (-2 x^{2}+3 x -2\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+\frac {3 y}{4} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x -1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }-3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+8 \left (x^{2}-1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x^{2} y^{\prime }-\frac {3 y}{4} = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }+2 y = 0
\] |
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