| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-{y^{\prime }}^{2}-{y^{\prime }}^{3} y = 0
\]
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| \[
{} \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} = r y^{\prime \prime }
\]
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| \[
{} \left (1+y^{2}\right ) y^{\prime \prime }-2 y {y^{\prime }}^{2}-2 \left (1+y^{2}\right ) y^{\prime } = y^{2} \left (1+y^{2}\right )
\]
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| \[
{} y^{\prime \prime } = \frac {1}{y^{2}}
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 1
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }-1-{y^{\prime }}^{2} = 0
\]
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| \[
{} y^{\prime } y^{\prime \prime }-x^{2} y y^{\prime } = x y^{2}
\]
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| \[
{} x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2}-3 y^{2} = 0
\]
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| \[
{} y^{\prime \prime } = \frac {1}{\sqrt {a y}}
\]
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| \[
{} y^{\prime \prime }+\frac {a^{2}}{y^{2}} = 0
\]
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| \[
{} y^{\prime \prime }-\frac {a^{2}}{y^{2}} = 0
\]
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| \[
{} y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime }-a {y^{\prime }}^{2} = 0
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = \ln \left (y\right ) y^{2}
\]
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| \[
{} 2 y^{\prime }+4 {y^{\prime }}^{3}+y^{\prime \prime } = 0
\]
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| \[
{} a^{2} y^{\prime \prime } y^{\prime } = x
\]
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| \[
{} a y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\]
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| \[
{} y+x y^{\prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime } = 0
\]
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| \[
{} {y^{\prime }}^{2}-y y^{\prime \prime } = n \sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}}
\]
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| \[
{} y^{\prime }+{y^{\prime }}^{3}+y^{\prime \prime } = 0
\]
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| \[
{} \left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2}+\left (1-\ln \left (y\right )\right ) y y^{\prime \prime } = 0
\]
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| \[
{} y^{3} y^{\prime \prime } = a
\]
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| \[
{} y^{\prime \prime } = a^{2}+k^{2} {y^{\prime }}^{2}
\]
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| \[
{} a^{2} {y^{\prime \prime }}^{2} = 1+{y^{\prime }}^{2}
\]
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| \[
{} \left (x y^{\prime }-y\right )^{2}+x^{2} y y^{\prime \prime } = 0
\]
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| \[
{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
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| \[
{} y y^{\prime }+x {y^{\prime }}^{2}+x y y^{\prime \prime } = 0
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| \[
{} y^{3} y^{\prime \prime } = a
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| \[
{} y^{\prime \prime }+\frac {a^{2}}{y} = 0
\]
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| \[
{} y^{\prime \prime } = y^{3}-y
\]
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| \[
{} y^{\prime \prime } = {\mathrm e}^{2 y}
\]
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| \[
{} y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\]
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| \[
{} x y^{\prime \prime }+x {y^{\prime }}^{2}-y^{\prime } = 0
\]
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| \[
{} y y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2}+y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+4 {y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime } = a {y^{\prime }}^{2}
\]
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{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
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| \[
{} y y^{\prime \prime }+\sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}} = {y^{\prime }}^{2}
\]
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| \[
{} a^{2} y^{\prime \prime } y^{\prime } = x
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{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
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| \[
{} a y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\]
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| \[
{} y^{\prime \prime } = a^{2}+k^{2} {y^{\prime }}^{2}
\]
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| \[
{} a^{2} {y^{\prime \prime }}^{2} = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\]
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| \[
{} x {y^{\prime }}^{2}+x y y^{\prime \prime } = 3 y y^{\prime }
\]
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| \[
{} 2 x^{2} y y^{\prime \prime }+y^{2} = x^{2} {y^{\prime }}^{2}
\]
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| \[
{} x^{2} y^{\prime \prime } = \sqrt {m \,x^{2} {y^{\prime }}^{3}+n y^{2}}
\]
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| \[
{} x^{4} y^{\prime \prime } = \left (x^{3}+2 x y\right ) y^{\prime }-4 y^{2}
\]
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{} x^{4} y^{\prime \prime }-x^{3} y^{\prime } = x^{2} {y^{\prime }}^{2}-4 y^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }+4 y^{2}-6 y = x^{4} {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = {\mathrm e}^{y}
\]
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| \[
{} y^{\prime \prime } = \frac {1}{\sqrt {a y}}
\]
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| \[
{} -a y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
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| \[
{} \sin \left (y\right )^{3} y^{\prime \prime } = \cos \left (y\right )
\]
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| \[
{} y y^{\prime \prime }+\sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}} = {y^{\prime }}^{2}
\]
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| \[
{} \left (x y^{\prime }-y\right )^{2}+x^{2} y y^{\prime \prime } = 0
\]
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| \[
{} 2 x^{2} y y^{\prime \prime }+4 y^{2} = x^{2} {y^{\prime }}^{2}+2 y y^{\prime } x
\]
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| \[
{} 2 x^{2} \cos \left (y\right ) y^{\prime \prime }-2 x^{2} \sin \left (y\right ) {y^{\prime }}^{2}+x \cos \left (y\right ) y^{\prime }-\sin \left (y\right ) = \ln \left (x \right )
\]
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| \[
{} x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2}-3 y^{2} = 0
\]
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| \[
{} y+3 x y^{\prime }+2 y {y^{\prime }}^{2}+\left (x^{2}+2 y^{2} y^{\prime }\right ) y^{\prime \prime } = 0
\]
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| \[
{} y+x y^{\prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime }+{y^{\prime }}^{3}+y^{\prime \prime } = 0
\]
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{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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{} \left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2}+\left (1-\ln \left (y\right )\right ) y y^{\prime \prime } = 0
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = \ln \left (y\right ) y^{2}
\]
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{} y^{\prime }-y y^{\prime \prime } = n \sqrt {{y^{\prime }}^{2}+a^{2} y^{\prime \prime }}
\]
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{} x^{4} y^{\prime \prime } = \left (y-x y^{\prime }\right )^{3}
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| \[
{} 2 y^{\prime }+x y^{\prime \prime } = -y^{2}+x^{2} y^{\prime }
\]
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| \[
{} x^{\prime \prime }-2 x^{\prime } \left (x-1\right ) = 0
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| \[
{} x^{\prime \prime } = 2 {x^{\prime }}^{3} x
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| \[
{} x x^{\prime \prime }-2 {x^{\prime }}^{2}-x^{2} = 0
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| \[
{} x x^{\prime \prime }-{x^{\prime }}^{2}+{\mathrm e}^{t} x^{2} = 0
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{} x x^{\prime \prime }-{x^{\prime }}^{2}+{\mathrm e}^{t} x^{2} = 0
\]
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| \[
{} L x^{\prime \prime }+g \sin \left (x\right ) = 0
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{} x^{\prime \prime } = x-x^{3}
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{} x^{\prime \prime } = x^{3}-x
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{} x^{\prime \prime } = x^{3}-x
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{} x^{\prime \prime } = x^{3}-x
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{} x^{\prime \prime } = x-x^{3}
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{} x^{\prime \prime } = x-x^{3}
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{} x^{\prime \prime } = x-x^{3}
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| \[
{} x^{\prime \prime }+x+8 x^{7} = 0
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| \[
{} x^{\prime \prime }+x+\frac {x^{2}}{3} = 0
\]
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{} x^{\prime \prime }-x+3 x^{2} = 0
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| \[
{} x^{\prime \prime }-x+3 x^{2} = 0
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| \[
{} x^{\prime \prime }-x+3 x^{2} = 0
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{} x^{\prime \prime }-x+3 x^{2} = 0
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{} x^{\prime \prime }-x^{3} = 0
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{} x^{\prime \prime }+4 x^{3} = 0
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| \[
{} x^{\prime \prime }+6 x^{5} = 0
\]
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| \[
{} x^{\prime \prime }+\lambda x-x^{3} = 0
\]
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{} x^{\prime \prime }+4 x^{3} = 0
\]
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| \[
{} x^{\prime \prime }+4 x^{3} = 0
\]
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| \[
{} -x^{\prime \prime } = 1-x-x^{2}
\]
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| \[
{} -x^{\prime \prime }+x = {\mathrm e}^{-x}
\]
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