| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 8 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (1+x \right ) y^{\prime }+y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+\left (1-2 x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x -3\right ) y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (4 x^{2}+1\right ) y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (5 x +1\right ) y^{\prime }+3 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (3 x +1\right ) y^{\prime }+\left (1-6 x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x -1\right ) y^{\prime }+\left (1-x \right ) y = 0
\]
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| \[
{} x \left (x -2\right ) y^{\prime \prime }+2 \left (x -1\right ) y^{\prime }-2 y = 0
\]
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| \[
{} x \left (x -2\right ) y^{\prime \prime }+2 \left (x -1\right ) y^{\prime }-2 y = 0
\]
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| \[
{} 4 \left (x -4\right )^{2} y^{\prime \prime }+\left (x -4\right ) \left (x -8\right ) y^{\prime }+x y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }-x y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }-x y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } \left (-x^{2}+1\right )-x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (2 x +3\right ) y^{\prime }+\left (3 x +1\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+8 x \left (1+x \right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x \left (1+x \right ) y^{\prime }+\left (1-3 x \right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x \left (x -2\right ) y^{\prime }+2 \left (2-3 x \right ) y = 0
\]
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| \[
{} x^{2} \left (2 x +1\right ) y^{\prime \prime }+2 x \left (1+6 x \right ) y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (2+3 x \right ) y^{\prime }-2 y = 0
\]
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| \[
{} x y^{\prime \prime }-\left (x +3\right ) y^{\prime }+2 y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (x +5\right ) y^{\prime }-4 y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (x +5\right ) y^{\prime }-4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y = 0
\]
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| \[
{} 2 y-3 y^{\prime }+\left (1-x \right ) x y^{\prime \prime } = 0
\]
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| \[
{} 2 y-3 y^{\prime }+\left (1-x \right ) x y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }+\left (3 x +4\right ) y^{\prime }+3 y = 0
\]
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| \[
{} x y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+4 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }+4 y = 0
\]
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| \[
{} x \left (x +3\right ) y^{\prime \prime }-9 y^{\prime }-6 y = 0
\]
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| \[
{} x \left (1-2 x \right ) y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+8 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (x^{3}-1\right ) y^{\prime }+x^{2} y = 0
\]
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| \[
{} x^{2} \left (4 x -1\right ) y^{\prime \prime }+x \left (5 x +1\right ) y^{\prime }+3 y = 0
\]
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| \[
{} y+x y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (4 x +3\right ) y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+6 y^{\prime }+y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+2 \left (2-x \right ) x y^{\prime }-\left (3 x +1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (x +6\right ) y^{\prime }+10 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }+8 y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+2 \left (1-x \right ) y^{\prime }+2 y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+2 \left (1-x \right ) y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+\left (8+5 x \right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (3-x \right ) y^{\prime }-5 y = 0
\]
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| \[
{} 9 x^{2} y^{\prime \prime }-15 x y^{\prime }+7 \left (1+x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (1-2 x \right ) y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (x^{3}+x +1\right ) y = 0
\]
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| \[
{} 2 \left (1-x \right ) x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x y \left (1+x \right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-\left (6 x^{2}-3 x +1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+x y^{\prime }+\left (x^{4}+1\right ) y = 0
\]
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| \[
{} x \left (x -2\right )^{2} y^{\prime \prime }-2 \left (x -2\right ) y^{\prime }+2 y = 0
\]
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| \[
{} x \left (x -2\right )^{2} y^{\prime \prime }-2 \left (x -2\right ) y^{\prime }+2 y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-y = 0
\]
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| \[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y = 0
\]
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| \[
{} 2 \left (x +5\right ) y-x \left (7+2 x \right ) y^{\prime }+2 x^{2} y^{\prime \prime } = 0
\]
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| \[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (x^{2}+3\right ) y^{\prime }+6 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-10 x y^{\prime }-18 y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }-3 y = 0
\]
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| \[
{} -8 y+2 x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 4 x y-\left (x^{2}+7\right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+\left (1+4 x \right ) y = 0
\]
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| \[
{} \left (x +3\right ) y-2 x \left (x +2\right ) y^{\prime }+4 x^{2} y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x \left (x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right ) y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x^{2}-3\right ) y^{\prime }+4 y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }-x^{2} y^{\prime }+y = 0
\]
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| \[
{} -2 y+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+\left (3 x +1\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+3 x^{2} y^{\prime }+\left (3 x +1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } \left (-x^{2}+1\right )+2 x y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-\left (x +3\right ) y = 0
\]
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| \[
{} x \left (-x^{2}+1\right ) y^{\prime \prime }+5 y^{\prime } \left (-x^{2}+1\right )-4 x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x +3\right ) y^{\prime }+\left (2 x +1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-\left (x^{2}+4\right ) y = 0
\]
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| \[
{} x \left (1-2 x \right ) y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+18 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 \left (1+x \right ) y = 0
\]
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| \[
{} y^{\prime } = \frac {y}{x \ln \left (x \right )}
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime }+y^{2} = -1
\]
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| \[
{} y^{\prime }+\frac {2 y}{x} = 5 x^{2}
\]
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| \[
{} t x^{\prime }+2 x = 4 \,{\mathrm e}^{t}
\]
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| \[
{} y^{\prime } = \frac {2 x -y}{x +4 y}
\]
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| \[
{} y^{\prime }+\frac {2 y}{x} = 6 x^{4} y^{2}
\]
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| \[
{} y^{2}+\cos \left (x \right )+\left (2 x y+\sin \left (y\right )\right ) y^{\prime } = 0
\]
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| \[
{} x y-1+x^{2} y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 5 \,{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }+16 y = 4 \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 9 x^{2}+4
\]
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| \[
{} y^{\prime \prime }+y = \tan \left (x \right )^{2}
\]
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| \[
{} [x^{\prime }\left (t \right ) = -2 x \left (t \right )+3 y \left (t \right ), y^{\prime }\left (t \right ) = -2 x \left (t \right )+5 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = -x \left (t \right )+4 y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )-3 y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = 2 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = -x \left (t \right )+2 y \left (t \right )+4 \,{\mathrm e}^{t}]
\]
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| \[
{} [x^{\prime }\left (t \right ) = 6 x \left (t \right )-7 y \left (t \right )+10, y^{\prime }\left (t \right ) = x \left (t \right )-2 y \left (t \right )-2 \,{\mathrm e}^{t}]
\]
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| \[
{} y^{\prime } = \frac {\cos \left (y\right ) \sec \left (x \right )}{x}
\]
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| \[
{} y^{\prime } = x \left (\cos \left (y\right )+y\right )
\]
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