| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 9 x^{2} y^{\prime \prime }+9 \left (-x^{2}+x \right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} 4 \left (1-x \right ) x^{2} y^{\prime \prime }+3 x \left (2 x +1\right ) y^{\prime }-3 y = 0
\]
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| \[
{} 2 x^{2} \left (1-3 x \right ) y^{\prime \prime }+5 x y^{\prime }-2 y = 0
\]
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| \[
{} 4 x^{2} \left (1+x \right ) y^{\prime \prime }-5 x y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} \left (x +4\right ) y^{\prime \prime }+x \left (x -1\right ) y^{\prime }+y = 0
\]
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| \[
{} \left (8-x \right ) x^{2} y^{\prime \prime }+6 x y^{\prime }-y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}-2\right ) y = 0
\]
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| \[
{} x^{3} \left (x^{2}+3\right ) y^{\prime \prime }+5 x y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} 2 x y^{\prime \prime }-\left (x^{3}+1\right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+2 y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+2 x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 \left (1+x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (1+x \right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (2 x +3\right ) y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x^{2}-1\right ) y^{\prime }+\left (-x^{2}+1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (2 x -1\right ) y^{\prime }+x \left (x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-\left (3 x^{2}+2\right ) y = 0
\]
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| \[
{} \left (1-x \right ) x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-9 y = 0
\]
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| \[
{} \left (-x^{2}+x \right ) y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x -7\right ) y^{\prime }+\left (x +12\right ) y = 0
\]
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| \[
{} x^{2} \left (1+x \right ) y^{\prime \prime }+x \left (x -4\right ) y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (-x^{2}+3\right ) y^{\prime }-3 y = 0
\]
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| \[
{} x y^{\prime \prime }+3 y^{\prime }-y = x
\]
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| \[
{} x y^{\prime \prime }+3 y^{\prime }-y = x
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }-2 x y = x^{2}
\]
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| \[
{} x y^{\prime \prime }-x y^{\prime }+y = x^{3}
\]
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| \[
{} \left (1-2 x \right ) y^{\prime \prime }+4 x y^{\prime }-4 y = x^{2}-x
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x +12\right ) y = x^{2}+x
\]
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| \[
{} x^{2} \left (1+x \right ) y^{\prime \prime }+x \left (x^{2}+3\right ) y^{\prime }+y = -2 x^{2}+x
\]
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| \[
{} 3 x^{2} \left (1+x \right ) y^{\prime \prime }+x \left (5-x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y = -x^{3}+x
\]
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| \[
{} 9 x^{2} y^{\prime \prime }+\left (2+3 x \right ) y = x^{4}+x^{2}
\]
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| \[
{} 9 x^{2} y^{\prime \prime }+10 x y^{\prime }+y = x -1
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y = x^{3}+1
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 6 \left (-x^{2}+1\right )^{2}
\]
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| \[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }-\left (2 x +2\right ) y^{\prime }+2 y = x^{2} \left (x +2\right )^{2}
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (1+x \right ) y = x \left (x^{2}+x +1\right )
\]
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| \[
{} \left (x^{3}+2 x^{2}\right ) y^{\prime \prime }-x y^{\prime }+\left (1-x \right ) y = x^{2} \left (1+x \right )^{2}
\]
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| \[
{} \left (-z^{2}+1\right ) y^{\prime \prime }-3 z y^{\prime }+\lambda y = 0
\]
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| \[
{} 4 z y^{\prime \prime }+2 \left (1-z \right ) y^{\prime }-y = 0
\]
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| \[
{} z y^{\prime \prime }-2 y^{\prime }+9 z^{5} y = 0
\]
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| \[
{} f^{\prime \prime }+2 \left (z -1\right ) f^{\prime }+4 f = 0
\]
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| \[
{} z^{2} y^{\prime \prime }-\frac {3 z y^{\prime }}{2}+\left (1+z \right ) y = 0
\]
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| \[
{} z y^{\prime \prime }-2 y^{\prime }+y z = 0
\]
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| \[
{} y^{\prime \prime }-2 z y^{\prime }-2 y = 0
\]
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| \[
{} z \left (1-z \right ) y^{\prime \prime }+\left (1-z \right ) y^{\prime }+\lambda y = 0
\]
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| \[
{} z y^{\prime \prime }+\left (2 z -3\right ) y^{\prime }+\frac {4 y}{z} = 0
\]
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| \[
{} \left (z^{2}+5 z +6\right ) y^{\prime \prime }+2 y = 0
\]
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| \[
{} \left (z^{2}+5 z +7\right ) y^{\prime \prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y}{z^{3}} = 0
\]
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| \[
{} z y^{\prime \prime }+\left (1-z \right ) y^{\prime }+\lambda y = 0
\]
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| \[
{} \left (-z^{2}+1\right ) y^{\prime \prime }-z y^{\prime }+m^{2} y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-2 x y = 0
\]
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| \[
{} y^{\prime \prime }+x y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+3 y = 0
\]
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-3 x y = 0
\]
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| \[
{} y^{\prime \prime }+2 x^{2} y^{\prime }+2 x y = 0
\]
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| \[
{} \left (x^{2}-3\right ) y^{\prime \prime }-3 x y^{\prime }-5 y = 0
\]
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| \[
{} 2 y+4 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} \left (-4 x^{2}+1\right ) y^{\prime \prime }-20 x y^{\prime }-16 y = 0
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime \prime }-6 x y^{\prime }+12 y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+4 x y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+\left (x +2\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-y \,{\mathrm e}^{x} = 0
\]
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| \[
{} x y^{\prime \prime }-\left (x -1\right ) y^{\prime }-x y = 0
\]
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| \[
{} \left (2 x^{2}+1\right ) y^{\prime \prime }+7 x y^{\prime }+2 y = 0
\]
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| \[
{} 4 y^{\prime \prime }+x y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+2 x^{2} y^{\prime }+x y = 2 \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }-4 y = 6 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{1-x}+x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\frac {x y^{\prime }}{\left (-x^{2}+1\right )^{2}}+y = 0
\]
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| \[
{} \left (x -2\right )^{2} y^{\prime \prime }+\left (x -2\right ) {\mathrm e}^{x} y^{\prime }+\frac {4 y}{x} = 0
\]
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| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x \left (x -3\right )}-\frac {y}{x^{3} \left (x +3\right )} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }-7 y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+x \,{\mathrm e}^{x} y^{\prime }-y = 0
\]
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| \[
{} 4 x y^{\prime \prime }-x y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+5 y \,{\mathrm e}^{2 x} = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+3 x y^{\prime }+x y = 0
\]
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| \[
{} 6 x^{2} y^{\prime \prime }+x \left (1+18 x \right ) y^{\prime }+\left (1+12 x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-\left (x +2\right ) y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+y^{\prime }-2 x y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }-x \left (x +8\right ) y^{\prime }+6 y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+2 \left (4 x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }-\left (x +5\right ) y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }+x \left (3 x +7\right ) y^{\prime }+\left (1+6 x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (1-x \right ) y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }+x \left (3 x^{2}+1\right ) y^{\prime }-2 x y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }-4 x^{2} y^{\prime }+\left (2 x +1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (3-2 x \right ) y^{\prime }+\left (1-2 x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (4-x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (3-x \right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-\left (x +4\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-\left (-x^{2}+x \right ) y^{\prime }+\left (x^{3}+1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-\left (2 \sqrt {5}-1\right ) x y^{\prime }+\left (\frac {19}{4}-3 x^{2}\right ) y = 0
\]
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