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