| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+\frac {2 p y^{\prime }}{x}+y = 0
\]
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| \[
{} x y^{\prime \prime }-y^{\prime }-x^{3} y = 0
\]
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| \[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-1\right ) y = -3 \,{\mathrm e}^{x^{2}} \sin \left (2 x \right )
\]
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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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| \[
{} y^{\prime \prime } = x +y^{2}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y^{2} = 0
\]
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| \[
{} y^{\prime \prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }-4 y = 0
\]
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| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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| \[
{} x y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\]
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| \[
{} y^{\prime \prime }-k y = 0
\]
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| \[
{} x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
\]
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| \[
{} 2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 4 x
\]
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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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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2}-2 y y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+2 x {y^{\prime }}^{2} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime } = 1
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 0
\]
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| \[
{} \left (y-x^{2}+x \,{\mathrm e}^{y}\right ) y^{\prime \prime } = 2 x y-{\mathrm e}^{y}-x
\]
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| \[
{} x^{2} y^{\prime \prime } = \left (3 x -2 y^{\prime }\right ) y^{\prime }
\]
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| \[
{} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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| \[
{} {y^{\prime }}^{2}+x^{2} y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\]
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| \[
{} x y^{\prime \prime }-y^{\prime } = 3 x^{2}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 x
\]
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| \[
{} x^{3} y^{\prime \prime }+x^{2} y^{\prime }+x y = 1
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime } = 6
\]
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| \[
{} y^{\prime \prime }-2 y = \sin \left (x \right )
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| \[
{} y^{\prime \prime } = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime } = 4
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| \[
{} y^{\prime \prime }-y = \sin \left (x \right )
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime } = 6 \,{\mathrm e}^{x}
\]
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| \[
{} -5 y-3 x y^{\prime }+x^{2} y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} x^{2} y^{\prime \prime }-2 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-y = 0
\]
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| \[
{} x y^{\prime \prime }+3 y^{\prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y = 0
\]
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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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| \[
{} x y^{\prime \prime }-\left (x +n \right ) y^{\prime }+n y = 0
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| \[
{} y-y^{\prime } \left (1+x \right )+x y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0
\]
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| \[
{} 3 y-\left (x +3\right ) y^{\prime }+x y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-f \left (x \right ) y^{\prime }+\left (f \left (x \right )-1\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+8 y = 0
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| \[
{} 2 y^{\prime \prime }-4 y^{\prime }+8 y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 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^{\prime } = 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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| \[
{} y^{\prime \prime } = 4 y
\]
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| \[
{} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0
\]
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| \[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
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| \[
{} 16 y^{\prime \prime }-8 y^{\prime }+y = 0
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }-5 y = 0
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| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+8 y^{\prime }-9 y = 0
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }-3 y = 0
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\]
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