| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} \left (1-y^{2}\right ) y^{\prime \prime } = y^{\prime }
\]
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| \[
{} T^{\prime \prime }+{T^{\prime }}^{3} = 0
\]
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| \[
{} x^{2} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime }-\tan \left (x \right ) y^{\prime }-\frac {\tan \left (x \right ) y}{x} = \frac {y^{3}}{x^{3}}
\]
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| \[
{} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+y\right )
\]
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| \[
{} y^{\prime \prime } = \frac {1+{y^{\prime }}^{2}}{2 y}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-2 y y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }-\frac {2 y^{\prime }}{y^{3}} = 0
\]
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| \[
{} y^{\prime \prime } = \frac {1+{y^{\prime }}^{2}}{y}
\]
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| \[
{} y^{\prime \prime } = y^{\prime } \left (1+{y^{\prime }}^{2}\right )
\]
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| \[
{} y^{\prime \prime }+\cos \left (y\right ) = 0
\]
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| \[
{} 3 y y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }+x {y^{\prime }}^{2}-y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime } = x {y^{\prime }}^{3}
\]
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| \[
{} \left (2+3 y\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = x {y^{\prime }}^{3}
\]
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| \[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
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| \[
{} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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| \[
{} \left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} 2 a y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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| \[
{} y^{\prime \prime } = 2 {y^{\prime }}^{3} y
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| \[
{} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
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| \[
{} {y^{\prime }}^{3}+y y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-x {y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime }-x {y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0
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| \[
{} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0
\]
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| \[
{} 2 y^{\prime \prime } = \sin \left (2 y\right )
\]
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| \[
{} 2 y^{\prime \prime } = \sin \left (2 y\right )
\]
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
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| \[
{} y^{\prime \prime } = {\mathrm e}^{x} {y^{\prime }}^{2}
\]
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| \[
{} 2 y^{\prime \prime } = {y^{\prime }}^{3} \sin \left (2 x \right )
\]
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| \[
{} {y^{\prime }}^{2}+x^{2} y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-\cos \left (y\right ) y y^{\prime }\right )
\]
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| \[
{} \left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\]
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| \[
{} \left (1+{y^{\prime }}^{2}+y y^{\prime \prime }\right )^{2} = \left (1+{y^{\prime }}^{2}\right )^{3}
\]
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| \[
{} x^{2} y^{\prime \prime } = y^{\prime } \left (2 x -y^{\prime }\right )
\]
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| \[
{} x^{2} y^{\prime \prime } = \left (3 x -2 y^{\prime }\right ) y^{\prime }
\]
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| \[
{} x y^{\prime \prime } = y^{\prime } \left (2-3 x y^{\prime }\right )
\]
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| \[
{} x^{4} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+x^{3}\right )
\]
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| \[
{} y^{\prime }-x y^{\prime \prime }+{y^{\prime \prime }}^{2} = 0
\]
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| \[
{} {y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right )
\]
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| \[
{} y^{\prime \prime }+\sin \left (y\right ) = 0
\]
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| \[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+t y^{\prime }+\left (t^{2}+1\right )^{2} y^{2} = 0
\]
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| \[
{} y^{\prime \prime }+2 y+t \sin \left (y\right ) = 0
\]
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