| # | ODE | Mathematica | Maple | Sympy |
| \[
{} u^{\prime \prime }-\frac {2 u^{\prime }}{x}-a^{2} u = 0
\]
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| \[
{} u^{\prime \prime }+\frac {2 u^{\prime }}{x}-a^{2} u = 0
\]
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| \[
{} u^{\prime \prime }+\frac {2 u^{\prime }}{x}+a^{2} u = 0
\]
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| \[
{} u^{\prime \prime }+\frac {4 u^{\prime }}{x}-a^{2} u = 0
\]
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| \[
{} u^{\prime \prime }+\frac {4 u^{\prime }}{x}+a^{2} u = 0
\]
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| \[
{} -a^{2} y+y^{\prime \prime } = \frac {6 y}{x^{2}}
\]
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| \[
{} y^{\prime \prime }+n^{2} y = \frac {6 y}{x^{2}}
\]
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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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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\frac {\left (-9 a^{2}+4 x^{2}\right ) y}{4 a^{2}} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {25}{4}\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+q y^{\prime } = \frac {2 y}{x^{2}}
\]
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| \[
{} x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y = 0
\]
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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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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime }+y = 0
\]
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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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| \[
{} 2 x y^{\prime \prime }-y^{\prime }+2 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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| \[
{} y^{\prime \prime }-2 x y^{\prime }+8 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 \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}+1\right ) y^{\prime \prime }-6 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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| \[
{} x^{2} y^{\prime \prime }+\left (\frac {5}{3} x +x^{2}\right ) y^{\prime }-\frac {y}{3} = 0
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| \[
{} 2 x y^{\prime \prime }-y^{\prime }+2 y = 0
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| \[
{} 2 x y^{\prime \prime }-\left (2 x +3\right ) y^{\prime }+y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (2 x -1\right ) y = 0
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| \[
{} -x y+2 y^{\prime }+x y^{\prime \prime } = 0
\]
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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 (x -6\right ) y^{\prime }-3 y = 0
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| \[
{} x^{4} y^{\prime \prime }+\lambda y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-25\right ) y = 0
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (36 x^{2}-\frac {1}{4}\right ) y = 0
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-2\right ) y = 0
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| \[
{} x y^{\prime \prime }+3 y^{\prime }+x^{3} y = 0
\]
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{} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0
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| \[
{} 16 x^{2} y^{\prime \prime }+32 x y^{\prime }+\left (x^{4}-12\right ) 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 }+2 y^{\prime }+x 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 }+2 y^{\prime }+4 x 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^{2} y^{\prime \prime }+6 x y^{\prime }+\left (4 x^{2}+6\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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| \[
{} 4 \left (t^{2}-3 t +2\right ) y^{\prime \prime }-2 y^{\prime }+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^{2} y^{\prime \prime }+\frac {\left (x +\frac {3}{4}\right ) y}{4} = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\frac {y \left (x^{2}-1\right )}{4} = 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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| \[
{} x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y = 0
\]
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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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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
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{} y^{\prime \prime }+2 x^{2} y^{\prime }+\left (x^{4}+2 x -1\right ) y = 0
\]
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| \[
{} u^{\prime \prime }+\frac {u}{x^{2}} = 0
\]
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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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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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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 }+\frac {y}{2 x^{4}} = 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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