| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 4 x^{2} y^{\prime \prime }+4 x \left (2 x +1\right ) y^{\prime }+\left (4 x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x +4\right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+5 \left (1-2 x \right ) y^{\prime }-5 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (x +n \right ) y^{\prime }+\left (n +1\right ) y = 0
\]
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| \[
{} x^{4} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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| \[
{} \left (4 x^{3}-14 x^{2}-2 x \right ) y^{\prime \prime }-\left (6 x^{2}-7 x +1\right ) y^{\prime }+\left (6 x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }+\left (x -2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x -2\right ) y = 0
\]
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| \[
{} x^{2} \left (1-4 x \right ) y^{\prime \prime }+\left (-\frac {1}{4} x -x^{2}\right ) y^{\prime }-\frac {5 x y}{16} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}+x \right ) y^{\prime }+\left (x -9\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }+\left (3 x -1\right ) y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-\left (2+3 x \right ) y^{\prime }+\frac {\left (2 x -1\right ) y}{x} = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+\left (\frac {3}{2}-2 x \right ) y^{\prime }-\frac {y}{4} = 0
\]
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| \[
{} 2 \left (1-x \right ) x y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} 2 \left (1-x \right ) x y^{\prime \prime }+\left (1-11 x \right ) y^{\prime }-10 y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+\frac {\left (1-2 x \right ) y^{\prime }}{3}+\frac {20 y}{9} = 0
\]
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| \[
{} y^{\prime \prime }+q y^{\prime } = \frac {2 y}{x^{2}}
\]
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| \[
{} \left (2-x \right ) x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }-2 y^{\prime } \left (1+x \right )+\left (x +2\right ) y = 0
\]
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| \[
{} 3 x y^{\prime \prime }-2 \left (3 x -1\right ) y^{\prime }+\left (3 x -2\right ) y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }-\left (x -1\right ) y^{\prime }+y = 0
\]
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| \[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 y^{\prime } \left (1+x \right )+2 y = 0
\]
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| \[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 y^{\prime } \left (1+x \right )+2 y = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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| \[
{} \left (2 x -3\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-3 y = 0
\]
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| \[
{} y-x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} 2 y-x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} x \left (1+x \right )^{2} y^{\prime \prime }+y^{\prime } \left (-x^{2}+1\right )+\left (x -1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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| \[
{} x \left (x -1\right )^{2} y^{\prime \prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+x^{2} y = 0
\]
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| \[
{} x \left (-x^{2}+2\right ) y^{\prime \prime }-\left (x^{2}+4 x +2\right ) \left (y+\left (1-x \right ) y^{\prime }\right ) = 0
\]
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| \[
{} x^{2} \left (1+x \right ) y^{\prime \prime }-\left (2 x +1\right ) \left (x y^{\prime }-y\right ) = 0
\]
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| \[
{} \left (3-x \right ) y-\left (4-x \right ) x y^{\prime }+2 \left (2-x \right ) x^{2} y^{\prime \prime } = 0
\]
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| \[
{} \left (1-x \right ) x^{2} y^{\prime \prime }+\left (5 x -4\right ) x y^{\prime }+\left (6-9 x \right ) y = 0
\]
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| \[
{} 4 x \left (x^{2}+1\right ) y+\left (4 x^{2}+1\right ) y^{\prime }+x y^{\prime \prime } = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+12 y = 0
\]
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| \[
{} x \left (x +2\right ) y^{\prime \prime }+2 y^{\prime } \left (1+x \right )-2 y = 0
\]
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| \[
{} x \left (x +2\right ) y^{\prime \prime }+y^{\prime } \left (1+x \right )-4 y = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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| \[
{} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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| \[
{} 2 y-x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} \left (x^{2}+2\right ) y^{\prime \prime }+3 x y^{\prime }-y = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} 2 x y^{\prime \prime }-\left (2 x +3\right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (x -6\right ) y^{\prime }-3 y = 0
\]
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| \[
{} x y-x^{2} y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+30 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} 2 x \left (x -1\right ) y^{\prime \prime }-y^{\prime } \left (1+x \right )+y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (2-2 x \right ) y^{\prime }+\left (x -2\right ) y = 0
\]
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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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| \[
{} \left (1-x \right ) x y^{\prime \prime }+\left (\frac {1}{2}+2 x \right ) y^{\prime }-2 y = 0
\]
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| \[
{} 2 \left (t^{2}-5 t +6\right ) y^{\prime \prime }+\left (2 t -3\right ) y^{\prime }-8 y = 0
\]
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| \[
{} 3 t \left (t +1\right ) y^{\prime \prime }+t y^{\prime }-y = 0
\]
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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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| \[
{} y-y^{\prime } \left (1+x \right )+x y^{\prime \prime } = 0
\]
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| \[
{} x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-x^{2}+1\right ) y^{\prime }-2 y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+\left (x -2\right ) y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }+2 x^{2} y^{\prime }+\left (x^{4}+2 x -1\right ) y = 0
\]
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| \[
{} u^{\prime \prime }-\left (2 x +1\right ) u^{\prime }+\left (x^{2}+x -1\right ) u = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+\left (1+\frac {2}{\left (3 x +1\right )^{2}}\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}-\frac {2 y}{\left (1+x \right )^{2}} = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y = 0
\]
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| \[
{} 2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } \left (1+x \right )+2 y = 0
\]
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| \[
{} x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y = 0
\]
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| \[
{} 2 x^{2} \left (x +2\right ) y^{\prime \prime }+5 x^{2} y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} y^{\prime \prime } = \left (x^{2}+3\right ) y
\]
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }-\left (2 x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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| \[
{} \left (x^{2}-x \right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }-x \left (4 x^{2}+3\right ) y^{\prime }+\left (-2 x^{2}+2\right ) y = 0
\]
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| \[
{} y^{\prime \prime } = \frac {\left (4 x^{6}-8 x^{5}+12 x^{4}+4 x^{3}+7 x^{2}-20 x +4\right ) y}{4 x^{4}}
\]
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| \[
{} y^{\prime \prime } = \left (\frac {x^{2}}{4}-\frac {11}{2}\right ) y
\]
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| \[
{} y^{\prime \prime } = \left (x^{2}+3\right ) y
\]
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| \[
{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y = 0
\]
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