| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-\cot \left (x \right ) y^{\prime }+y \cos \left (x \right ) = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+x^{2} y = 0
\]
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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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| \[
{} y-x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+4 y = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
\]
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| \[
{} s^{\prime \prime }+2 s^{\prime }+s = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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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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| \[
{} \sin \left (x \right ) u^{\prime \prime }+2 \cos \left (x \right ) u^{\prime }+\sin \left (x \right ) u = 0
\]
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| \[
{} y^{\prime \prime }-\frac {x y^{\prime }}{-x^{2}+1}+\frac {y}{-x^{2}+1} = 0
\]
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| \[
{} x^{2} y y^{\prime \prime } = x^{2} {y^{\prime }}^{2}-y^{2}
\]
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| \[
{} x x^{\prime \prime }-{x^{\prime }}^{2} = 0
\]
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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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| \[
{} u^{\prime \prime }-\cot \left (\theta \right ) u^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}} = 0
\]
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| \[
{} \left (-x^{2}+1\right ) z^{\prime \prime }+\left (1-3 x \right ) z^{\prime }+k z = 0
\]
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| \[
{} \left (-x^{2}+1\right ) \eta ^{\prime \prime }-\left (1+x \right ) \eta ^{\prime }+\left (1+k \right ) \eta = 0
\]
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| \[
{} y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+k^{2} y = 0
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| \[
{} y^{\prime \prime }-4 y = 0
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| \[
{} 3 y^{\prime \prime }+2 y = 0
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| \[
{} y^{\prime \prime }+16 y = 0
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| \[
{} y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+2 i y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
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| \[
{} y^{\prime \prime }+\left (1+4 i\right ) y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0
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| \[
{} y^{\prime \prime }+10 y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-2 i y^{\prime }-y = 0
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
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| \[
{} \left (3 x -1\right )^{2} y^{\prime \prime }+\left (9 x -3\right ) y^{\prime }-9 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+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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| \[
{} y-y^{\prime } \left (1+x \right )+x 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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| \[
{} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }-2 y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+\alpha ^{2} y = 0
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+2 \alpha y = 0
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+5 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (-2-i\right ) x y^{\prime }+3 i y = 0
\]
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| \[
{} y y^{\prime \prime }+4 {y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime }+k^{2} y = 0
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| \[
{} y^{\prime \prime } = y y^{\prime }
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| \[
{} y^{\prime \prime } = -\frac {1}{2 {y^{\prime }}^{2}}
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| \[
{} y^{\prime \prime }+\sin \left (y\right ) = 0
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| \[
{} y^{\prime \prime }+\sin \left (y\right ) = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }-4 y = 0
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
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| \[
{} x y y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
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| \[
{} y^{\prime \prime }-k^{2} y = 0
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| \[
{} x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} \left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 x y^{\prime } = 0
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| \[
{} y y^{\prime \prime } = y^{2} y^{\prime }+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = {\mathrm e}^{y} y^{\prime }
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
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| \[
{} x y^{\prime \prime } = y^{\prime }-2 {y^{\prime }}^{3}
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| \[
{} y y^{\prime \prime }+y^{\prime } = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+8 y = 0
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| \[
{} 2 y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} 20 y-9 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
\]
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| \[
{} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0
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| \[
{} 3 y+2 y^{\prime }+y^{\prime \prime } = 0
\]
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