| # | ODE | Mathematica | Maple | Sympy |
| \[
{} -y y^{\prime }+{y^{\prime }}^{2}+y^{\prime \prime \prime } = 0
\]
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| \[
{} a y y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
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| \[
{} y^{2}-\left (1-2 x y\right ) y^{\prime }+x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = f \left (x \right )
\]
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| \[
{} \left (1-y\right ) y^{\prime }+x {y^{\prime }}^{2}-x \left (1-y\right ) y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
\]
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| \[
{} y^{3} y^{\prime }-y^{\prime } y^{\prime \prime }+y y^{\prime \prime \prime } = 0
\]
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| \[
{} 3 y^{\prime } y^{\prime \prime }+\left (a +y\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} 3 y^{2}+18 y y^{\prime } x +9 x^{2} {y^{\prime }}^{2}+9 x^{2} y y^{\prime \prime }+3 x^{3} y^{\prime } y^{\prime \prime }+x^{3} y y^{\prime \prime \prime } = 0
\]
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| \[
{} 2 {y^{\prime }}^{3}+3 y^{\prime \prime }+6 y y^{\prime } y^{\prime \prime }+\left (x +y^{2}\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} 15 {y^{\prime }}^{3}-18 y y^{\prime } y^{\prime \prime }+4 y^{2} y^{\prime \prime \prime } = 0
\]
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| \[
{} 40 {y^{\prime }}^{3}-45 y y^{\prime } y^{\prime \prime }+9 y^{2} y^{\prime \prime \prime } = 0
\]
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| \[
{} {y^{\prime }}^{2}+y^{\prime } y^{\prime \prime \prime } = 2 {y^{\prime \prime }}^{2}
\]
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| \[
{} y^{\prime } y^{\prime \prime } = a x {y^{\prime }}^{5}+3 {y^{\prime \prime }}^{2}
\]
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| \[
{} 2 y^{\prime } y^{\prime \prime \prime } = 2 {y^{\prime \prime }}^{2}
\]
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| \[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime } = 3 y^{\prime } {y^{\prime \prime }}^{2}
\]
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| \[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime } = \left (a +3 y^{\prime }\right ) {y^{\prime \prime }}^{2}
\]
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| \[
{} {y^{\prime }}^{3} y^{\prime \prime \prime } = 1
\]
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| \[
{} y^{\prime \prime } y^{\prime \prime \prime } = 2
\]
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| \[
{} y^{\prime \prime } y^{\prime \prime \prime } = a \sqrt {1+b^{2} {y^{\prime \prime }}^{2}}
\]
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| \[
{} 2 x y^{\prime \prime } y^{\prime \prime \prime } = -a^{2}+{y^{\prime \prime }}^{2}
\]
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| \[
{} 1-{y^{\prime \prime }}^{2}+2 x y^{\prime \prime } y^{\prime \prime \prime }+\left (-x^{2}+1\right ) {y^{\prime \prime \prime }}^{2} = 0
\]
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| \[
{} \sqrt {1+{y^{\prime \prime }}^{2}}\, \left (1-y^{\prime \prime \prime }\right ) = y^{\prime \prime } y^{\prime \prime \prime }
\]
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| \[
{} 3 y^{\prime \prime } y^{\prime \prime \prime \prime } = 5 {y^{\prime \prime \prime }}^{2}
\]
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| \[
{} 40 {y^{\prime \prime \prime }}^{3}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+9 {y^{\prime \prime }}^{2} y^{\left (5\right )} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = x
\]
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| \[
{} y^{\prime \prime }-\frac {2 y^{\prime }}{x}+\frac {2 y}{x^{2}} = x \ln \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = x^{3}
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = x^{2} {\mathrm e}^{-x}
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = \frac {1}{x}
\]
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| \[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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| \[
{} y^{3} y^{\prime \prime } = k
\]
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2}-1
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime } = 1
\]
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| \[
{} x y^{\prime \prime }-y^{\prime } = x^{2}
\]
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{} \left (1+y\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\]
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| \[
{} r^{\prime \prime } = -\frac {k}{r^{2}}
\]
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{} y^{\prime \prime } = \frac {3 k y^{2}}{2}
\]
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| \[
{} y^{\prime \prime } = 2 k y^{3}
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2}-y^{\prime } = 0
\]
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| \[
{} r^{\prime \prime } = \frac {h^{2}}{r^{3}}-\frac {k}{r^{2}}
\]
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| \[
{} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
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| \[
{} y y^{\prime \prime }-3 {y^{\prime }}^{2} = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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{} \left (x^{2}+1\right ) y^{\prime \prime }+2 \left (1+y^{\prime }\right ) x = 0
\]
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| \[
{} \left (1+y\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = {\mathrm e}^{y} y^{\prime }
\]
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| \[
{} y^{\prime \prime } = 2 y y^{\prime }
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{} 2 y^{\prime \prime } = {\mathrm e}^{y}
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime } = 1
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| \[
{} x y^{\prime \prime }-y^{\prime } = x^{2}
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| \[
{} y y^{\prime }-2 x {y^{\prime }}^{2}+x y y^{\prime \prime } = 0
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| \[
{} x y y^{\prime \prime }+x {y^{\prime }}^{2}-y y^{\prime } = 0
\]
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| \[
{} x y y^{\prime \prime }-2 x {y^{\prime }}^{2}+\left (1+y\right ) y^{\prime } = 0
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (1+{y^{\prime }}^{2}\right )^{3} = a^{2} {y^{\prime \prime }}^{2}
\]
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| \[
{} u^{\prime \prime }-\frac {a^{2} u}{x^{{2}/{3}}} = 0
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| \[
{} u^{\prime \prime }-\frac {2 u^{\prime }}{x}-a^{2} u = 0
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| \[
{} u^{\prime \prime }+\frac {2 u^{\prime }}{x}-a^{2} u = 0
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| \[
{} u^{\prime \prime }+\frac {2 u^{\prime }}{x}+a^{2} u = 0
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| \[
{} u^{\prime \prime }+\frac {4 u^{\prime }}{x}-a^{2} u = 0
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| \[
{} u^{\prime \prime }+\frac {4 u^{\prime }}{x}+a^{2} u = 0
\]
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| \[
{} -a^{2} y+y^{\prime \prime } = \frac {6 y}{x^{2}}
\]
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{} y^{\prime \prime }+n^{2} y = \frac {6 y}{x^{2}}
\]
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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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{} x^{2} y^{\prime \prime }+x y^{\prime }+\frac {\left (-9 a^{2}+4 x^{2}\right ) y}{4 a^{2}} = 0
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {25}{4}\right ) y = 0
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{} y^{\prime \prime }+q y^{\prime } = \frac {2 y}{x^{2}}
\]
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| \[
{} y^{\prime \prime }+y \,{\mathrm e}^{2 x} = n^{2} y
\]
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| \[
{} y^{\prime \prime }+\frac {y}{4 x} = 0
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| \[
{} x y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y = 0
\]
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{} y y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y y^{\prime }+y^{\prime \prime } = 0
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{} y y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+2 x y^{\prime } = 0
\]
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{} 2 y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} x y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\]
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{} {y^{\prime \prime }}^{2} = k^{2} \left (1+{y^{\prime }}^{2}\right )
\]
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{} k = \frac {y^{\prime \prime }}{\left (1+y^{\prime }\right )^{{3}/{2}}}
\]
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{} x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y = 0
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
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{} x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0
\]
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{} x^{2} y^{\prime \prime }-x y^{\prime }+6 y = 0
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 8 x^{4}
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }-y = x -\frac {1}{x}
\]
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{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 2 x^{3}
\]
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{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 6 x^{2} \ln \left (x \right )
\]
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{} x^{2} y^{\prime \prime }+y = 3 x^{2}
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 2 x
\]
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{} \left (2-x \right ) x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }-2 y^{\prime } \left (1+x \right )+\left (x +2\right ) y = 0
\]
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| \[
{} 3 x y^{\prime \prime }-2 \left (3 x -1\right ) y^{\prime }+\left (3 x -2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+y^{\prime } \left (1+x \right )-y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }-\left (x -1\right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = x
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 4 x
\]
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{} x \left (y y^{\prime \prime }+{y^{\prime }}^{2}\right ) = y y^{\prime }
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2}+4 = 0
\]
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{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\]
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