| # | ODE | Mathematica | Maple | Sympy |
| \[
{} \left (x -2\right )^{2} y^{\prime \prime }-\left (x -2\right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-6 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\frac {7 x y^{\prime }}{2}-\frac {3 y}{2} = 0
\]
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| \[
{} y^{\prime \prime }-\frac {5 y^{\prime }}{x}+\frac {5 y}{x^{2}} = 0
\]
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| \[
{} 3 x y^{\prime \prime }-4 y^{\prime }+\frac {5 y}{x} = 0
\]
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| \[
{} \left (x -4\right ) y^{\prime \prime }+4 y^{\prime }-\frac {4 y}{x -4} = 0
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }-y^{\prime }+\frac {y}{x +2} = 0
\]
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| \[
{} y^{\prime \prime }+\frac {5 y^{\prime }}{x -1}+\frac {4 y}{\left (x -1\right )^{2}} = 0
\]
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| \[
{} 5 y^{\prime \prime }+\frac {3 y^{\prime }}{x -3}+\frac {3 y}{\left (x -3\right )^{2}} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (2 x^{2}-x \right ) y^{\prime }-2 x y = 0
\]
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| \[
{} x^{3} y^{\prime \prime }+\left (5 x^{3}-x^{2}\right ) y^{\prime }+2 \left (3 x^{3}-x^{2}\right ) y = 0
\]
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| \[
{} x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }-y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-\left (x +2\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (x -1\right ) y^{\prime }+\left (3-12 x \right ) y = 0
\]
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| \[
{} x^{2} \left (1-\ln \left (x \right )\right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}+\frac {9 y}{x^{4}} = 0
\]
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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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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-7 x y^{\prime }+7 y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{4}/{3}}}-\frac {6}{x^{2}}\right ) y = 0
\]
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| \[
{} x \left (x -2\right ) y^{\prime \prime }-2 \left (x^{2}-3 x +3\right ) y^{\prime }+\left (x^{2}-4 x +6\right ) y = 0
\]
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| \[
{} x \left (1-3 x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+9 x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (3+9 x \right ) y = 0
\]
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| \[
{} y^{\prime \prime }-\left (1+\frac {3}{2 x}\right ) y^{\prime }+\frac {3 y}{2 x^{2}} = 0
\]
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| \[
{} x \left (1-2 x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+4 x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (4 x +2\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} 6 y-2 x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+12 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+2 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+3 y = 0
\]
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| \[
{} y-x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+4 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+9 y = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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| \[
{} \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} \sin \left (x \right ) y^{\prime \prime } = y^{\prime }
\]
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| \[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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| \[
{} 6 x^{2} y^{\prime \prime }-5 x y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+\left (3 x -9\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+p \left (x \right ) y^{\prime }+q \left (x \right ) y = 0
\]
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| \[
{} x \left (x -1\right ) y^{\prime \prime }+\left (-x^{2}+2 x +1\right ) y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right ) = y^{\prime }
\]
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| \[
{} y^{\prime \prime }-2 y = t y
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+\sin \left (t \right ) y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-5\right ) y = 0
\]
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| \[
{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
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| \[
{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
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| \[
{} y^{\prime \prime }+\sqrt {t}\, y^{\prime }-\sqrt {t -3}\, y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
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| \[
{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 0
\]
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| \[
{} \left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-2 t y^{\prime } = 0
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{} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0
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| \[
{} 2 t^{2} y^{\prime \prime }-5 t y^{\prime }+3 y = 0
\]
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| \[
{} 9 t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }-2 y = 0
\]
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| \[
{} 4 t^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-3 t y^{\prime }-21 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+7 t y^{\prime }+9 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }-4 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-3 t y^{\prime }+13 y = 0
\]
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{} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0
\]
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| \[
{} 4 t^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
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| \[
{} t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = 0
\]
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| \[
{} t y^{\prime \prime }+\left (t +1\right ) y^{\prime }+y = 0
\]
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| \[
{} t y^{\prime \prime }+\left (2+4 t \right ) y^{\prime }+\left (4+4 t \right ) y = 0
\]
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| \[
{} t y^{\prime \prime }-2 y^{\prime }+t y = 0
\]
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| \[
{} t y^{\prime \prime }-4 y^{\prime }+t y = 0
\]
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| \[
{} t y^{\prime \prime }+\left (2+2 t \right ) y^{\prime }+\left (t +2\right ) y = 0
\]
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| \[
{} -t y^{\prime \prime }+\left (t -2\right ) y^{\prime }+y = 0
\]
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| \[
{} -t y^{\prime \prime }-2 y^{\prime }+t y = 0
\]
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| \[
{} t y^{\prime \prime }+\left (2-5 t \right ) y^{\prime }+\left (6 t -5\right ) y = 0
\]
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| \[
{} t y^{\prime \prime }+2 y^{\prime }+9 t y = 0
\]
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| \[
{} t y^{\prime \prime }+\left (t +2\right ) y^{\prime }+y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-3 t y^{\prime }+4 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0
\]
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| \[
{} 4 t^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+2 t y^{\prime } = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = 0
\]
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| \[
{} t y^{\prime \prime }-y^{\prime }+4 t^{3} y = 0
\]
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| \[
{} t y^{\prime \prime }-2 \left (t +1\right ) y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }-2 \sec \left (t \right )^{2} y = 0
\]
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