| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+\left (4 x^{4}-5 x \right ) y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (-3 x^{2}+x \right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }+5 x y^{\prime }+3 x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \,{\mathrm e}^{x} y^{\prime }+y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+\left (x^{2}+5 x \right ) y^{\prime }+\left (x^{2}-2\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }-4 x \,{\mathrm e}^{x} y^{\prime }+3 y \cos \left (x \right ) = 0
\]
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| \[
{} x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+3 \left (x^{2}+x \right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (-x^{3}+3\right ) y = 0
\]
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| \[
{} 2 \left (1+x \right ) y-2 x \left (1+x \right ) y^{\prime }+x^{2} y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x^{2} y^{\prime }+\left (4 x -2\right ) y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime } = x^{2} y
\]
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| \[
{} y y^{\prime } = x
\]
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| \[
{} y^{\prime } = \frac {x^{2}+x}{y-y^{2}}
\]
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| \[
{} y^{\prime } = \frac {{\mathrm e}^{x -y}}{{\mathrm e}^{x}+1}
\]
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| \[
{} y^{\prime } = x^{2} y^{2}-4 x^{2}
\]
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| \[
{} y^{\prime } = y^{2}
\]
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| \[
{} y^{\prime } = 2 \sqrt {y}
\]
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| \[
{} y^{\prime } = 2 \sqrt {y}
\]
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| \[
{} y^{\prime } = \frac {x +y}{x -y}
\]
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| \[
{} y^{\prime } = \frac {y^{2}}{x^{2}+x y}
\]
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| \[
{} y^{\prime } = \frac {x^{2}+x y+y^{2}}{x^{2}}
\]
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| \[
{} y^{\prime } = \frac {y+x \,{\mathrm e}^{-\frac {2 y}{x}}}{x}
\]
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| \[
{} y^{\prime } = \frac {x -y+2}{x +y-1}
\]
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| \[
{} y^{\prime } = \frac {2 x +3 y+1}{x -2 y-1}
\]
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| \[
{} y^{\prime } = \frac {x +y+1}{2 x +2 y-1}
\]
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| \[
{} y^{\prime } = \frac {\left (x +y-1\right )^{2}}{2 \left (x +2\right )^{2}}
\]
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| \[
{} 2 x y+\left (x^{2}+3 y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} x^{2}+x y+\left (x +y\right ) y^{\prime } = 0
\]
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| \[
{} {\mathrm e}^{x}+{\mathrm e}^{y} \left (1+y\right ) y^{\prime } = 0
\]
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| \[
{} \cos \left (x \right ) \cos \left (y\right )^{2}-\sin \left (x \right ) \sin \left (2 y\right ) y^{\prime } = 0
\]
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| \[
{} x^{2} y^{3}-x^{3} y^{2} y^{\prime } = 0
\]
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| \[
{} x +y+\left (x -y\right ) y^{\prime } = 0
\]
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| \[
{} 2 y \,{\mathrm e}^{2 x}+2 x \cos \left (y\right )+\left ({\mathrm e}^{2 x}-x^{2} \sin \left (y\right )\right ) y^{\prime } = 0
\]
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| \[
{} 3 x^{2} \ln \left (x \right )+x^{2}+y+x y^{\prime } = 0
\]
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| \[
{} 2 y^{3}+2+3 x y^{2} y^{\prime } = 0
\]
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| \[
{} \cos \left (x \right ) \cos \left (y\right )-2 \sin \left (x \right ) \sin \left (y\right ) y^{\prime } = 0
\]
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| \[
{} 5 y^{2} x^{3}+2 y+\left (3 x^{4} y+2 x \right ) y^{\prime } = 0
\]
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| \[
{} {\mathrm e}^{y}+x \,{\mathrm e}^{y}+x \,{\mathrm e}^{y} y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime } = 1
\]
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| \[
{} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime } = {\mathrm e}^{x}
\]
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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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| \[
{} x y^{\prime \prime }-2 y^{\prime } = x^{3}
\]
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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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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| \[
{} [y_{1}^{\prime }\left (x \right ) = y_{1} \left (x \right ), y_{2}^{\prime }\left (x \right ) = y_{1} \left (x \right )+y_{2} \left (x \right )]
\]
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| \[
{} [y_{1}^{\prime }\left (x \right ) = y_{2} \left (x \right ), y_{2}^{\prime }\left (x \right ) = 6 y_{1} \left (x \right )+y_{2} \left (x \right )]
\]
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| \[
{} [y_{1}^{\prime }\left (x \right ) = y_{1} \left (x \right )+y_{2} \left (x \right ), y_{2}^{\prime }\left (x \right ) = y_{1} \left (x \right )+y_{2} \left (x \right )+{\mathrm e}^{3 x}]
\]
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| \[
{} [y_{1}^{\prime }\left (x \right ) = 3 y_{1} \left (x \right )+x y_{3} \left (x \right ), y_{2}^{\prime }\left (x \right ) = y_{2} \left (x \right )+x^{3} y_{3} \left (x \right ), y_{3}^{\prime }\left (x \right ) = 2 y_{1} \left (x \right ) x -y_{2} \left (x \right )+{\mathrm e}^{x} y_{3} \left (x \right )]
\]
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| \[
{} y^{\prime } = 2 x
\]
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| \[
{} x y^{\prime } = 2 y
\]
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| \[
{} y y^{\prime } = {\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime } = k y
\]
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| \[
{} 4 y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-4 y = 0
\]
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| \[
{} x y^{\prime }+y = y^{\prime } \sqrt {1-x^{2} y^{2}}
\]
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| \[
{} x y^{\prime } = y+x^{2}+y^{2}
\]
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| \[
{} y^{\prime } = \frac {x y}{x^{2}+y^{2}}
\]
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| \[
{} 2 y y^{\prime } x = x^{2}+y^{2}
\]
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| \[
{} x y^{\prime }+y = x^{4} {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime } = \frac {y^{2}}{x y-x^{2}}
\]
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| \[
{} \left (y \cos \left (y\right )-\sin \left (y\right )+x \right ) y^{\prime } = y
\]
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| \[
{} 1+y^{2}+y^{2} y^{\prime } = 0
\]
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| \[
{} y^{\prime } = {\mathrm e}^{3 x}-x
\]
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| \[
{} y^{\prime } = x \,{\mathrm e}^{x^{2}}
\]
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| \[
{} y^{\prime } \left (1+x \right ) = x
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime } = x
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime } = \arctan \left (x \right )
\]
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| \[
{} x y^{\prime } = 1
\]
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| \[
{} y^{\prime } = \arcsin \left (x \right )
\]
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| \[
{} y^{\prime } \sin \left (x \right ) = 1
\]
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| \[
{} \left (x^{3}+1\right ) y^{\prime } = x
\]
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| \[
{} \left (x^{2}-3 x +2\right ) y^{\prime } = x
\]
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| \[
{} y^{\prime } = x \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime } = 2 \cos \left (x \right ) \sin \left (x \right )
\]
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| \[
{} y^{\prime } = \ln \left (x \right )
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime } = 1
\]
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| \[
{} x \left (x^{2}-4\right ) y^{\prime } = 1
\]
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| \[
{} \left (1+x \right ) \left (x^{2}+1\right ) y^{\prime } = 2 x^{2}+x
\]
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| \[
{} y^{\prime } = 2 x y+1
\]
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime } = \frac {2 x y^{2}}{1-x^{2} y}
\]
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| \[
{} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0
\]
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| \[
{} x^{5} y^{\prime }+y^{5} = 0
\]
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| \[
{} y^{\prime } = 4 x y
\]
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| \[
{} y^{\prime }+y \tan \left (x \right ) = 0
\]
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| \[
{} 1+y^{2}+\left (x^{2}+1\right ) y^{\prime } = 0
\]
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| \[
{} y \ln \left (y\right )-x y^{\prime } = 0
\]
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| \[
{} x y^{\prime } = \left (-4 x^{2}+1\right ) \tan \left (y\right )
\]
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| \[
{} y^{\prime } \sin \left (y\right ) = x^{2}
\]
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| \[
{} y^{\prime }-y \tan \left (x \right ) = 0
\]
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