| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+\left (-n^{2}+x^{2}+1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }-3 y^{\prime }+x y = 0
\]
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| \[
{} y^{\prime }+y = 0
\]
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| \[
{} y^{\prime } = x y
\]
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| \[
{} y^{\prime } = 2 x -y
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} y+x y^{\prime \prime } = 0
\]
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| \[
{} y+x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+y = 0
\]
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| \[
{} \left (1+x \right ) y^{\prime \prime }+2 y^{\prime } = 0
\]
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| \[
{} 2 y^{\prime \prime }-5 y^{\prime }+3 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+y = 0
\]
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| \[
{} \left (x^{2}+4\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} \left (x^{2}+x \right ) y^{\prime \prime }+\left (x -2\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+x y = 0
\]
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| \[
{} y^{\prime }+3 y = 0
\]
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| \[
{} y^{\prime }+y = x^{2}
\]
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| \[
{} y^{\prime } = y+{\mathrm e}^{x}
\]
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| \[
{} 2 y^{\prime }+x y-y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }+x y = \sin \left (x \right )
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0
\]
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| \[
{} y^{\prime \prime }+y \,{\mathrm e}^{x} = 0
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right )+\sin \left (x \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+y^{\prime }-x y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+12 y = 0
\]
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| \[
{} y+x y^{\prime \prime } = 0
\]
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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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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }-y^{\prime }+4 x^{2} y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-4 x^{2}+3\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} -6 x y-y^{\prime }+x \left (x^{2}+2\right ) y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-4\right ) y = 0
\]
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| \[
{} U^{\prime \prime }+\frac {2 U^{\prime }}{r}+a U = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-y = 5 \sqrt {x}
\]
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 2 x
\]
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| \[
{} \left (1-x \right ) y^{\prime \prime }+\left (2-4 x \right ) y^{\prime }-y = 0
\]
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| \[
{} \left (1-x \right ) y^{\prime \prime }+\left (2-4 x \right ) y^{\prime }-y = 4 x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x y = 0
\]
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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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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-9\right ) y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-8\right ) y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (3 x^{2}-4\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (2 x^{2}-1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (4 x^{2}-1\right ) y = 0
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| \[
{} v^{\prime \prime }+v = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }-i x y = 0
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| \[
{} y^{\prime \prime }+x y = 0
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| \[
{} y+x y^{\prime \prime } = 0
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| \[
{} x y^{\prime \prime }+y^{\prime }+x y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+\left (1-3 x \right ) y^{\prime }-y = 0
\]
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| \[
{} y+x y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime \prime }-\sin \left (x \right ) y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }-\ln \left (1+x \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left (x +3\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+x^{2} y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime \prime }-3 x^{2} y^{\prime }+2 x y = 0
\]
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| \[
{} y^{\prime \prime \prime }+4 y^{\prime \prime }+2 y^{\prime }-x^{3} y = 0
\]
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| \[
{} y^{\prime \prime }+y \cos \left (x \right ) = 0
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+x y = 0
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| \[
{} y^{\prime \prime }+x^{2} y^{\prime }+x y = 0
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| \[
{} y^{\prime \prime \prime }+y = 0
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| \[
{} \left (x^{2}+2\right ) y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+x^{2} y = 0
\]
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| \[
{} \left (2 x^{2}+1\right ) y^{\prime \prime }+3 y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime }+3 x y = 0
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| \[
{} y^{\prime \prime \prime }-2 x y = 0
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| \[
{} \left (1+x \right ) y^{\prime \prime }+3 y^{\prime }-2 x^{2} y = 0
\]
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| \[
{} \left (1+a \cos \left (2 x \right )\right ) y^{\prime \prime }+\lambda y = 0
\]
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| \[
{} y^{\prime } = 3 y
\]
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| \[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+2 y = 0
\]
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| \[
{} \left (1-x \right ) y^{\prime \prime }-y^{\prime }+x y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y = 0
\]
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| \[
{} \left (x -1\right )^{2} y^{\prime \prime }-\left (x^{2}-x \right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-\left (x +2\right ) y = 0
\]
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| \[
{} x^{3} \left (-x^{2}+1\right ) y^{\prime \prime }+\left (2 x -3\right ) y^{\prime }+x y = 0
\]
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| \[
{} \left (x -1\right )^{4} y^{\prime \prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-p^{2}+x^{2}\right ) y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+p^{2} y = 0
\]
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| \[
{} -b y a +\left (c -\left (1+a +b \right ) x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+p y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+p y = 0
\]
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| \[
{} n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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