| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x \left ({y^{\prime }}^{2}-1\right ) = 2 y y^{\prime }
\]
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| \[
{} \left (1-y^{2}\right ) {y^{\prime }}^{2} = 1
\]
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| \[
{} x y {y^{\prime }}^{2}+\left (x y-1\right ) y^{\prime } = y
\]
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| \[
{} y^{2} {y^{\prime }}^{2}+y y^{\prime } x -2 x^{2} = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x +2 y^{2} = x^{2}
\]
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| \[
{} {y^{\prime }}^{3}+\left (x +y-2 x y\right ) {y^{\prime }}^{2}-2 y^{\prime } x y \left (x +y\right ) = 0
\]
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| \[
{} y {y^{\prime }}^{2}+\left (y^{2}-x^{3}-x y^{2}\right ) y^{\prime }-x y \left (x^{2}+y^{2}\right ) = 0
\]
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| \[
{} y = y^{\prime } x \left (1+y^{\prime }\right )
\]
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| \[
{} y = x +3 \ln \left (y^{\prime }\right )
\]
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| \[
{} y \left (1+{y^{\prime }}^{2}\right ) = 2
\]
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| \[
{} y {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\]
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| \[
{} {y^{\prime }}^{2}+y^{2} = 1
\]
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| \[
{} x \left ({y^{\prime }}^{2}-1\right ) = 2 y y^{\prime }
\]
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| \[
{} 4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\]
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| \[
{} 2 x^{2} y+{y^{\prime }}^{2} = x^{3} y^{\prime }
\]
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| \[
{} y {y^{\prime }}^{2} = 3 x y^{\prime }+y
\]
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| \[
{} 1+8 x = y {y^{\prime }}^{2}
\]
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| \[
{} y {y^{\prime }}^{2}+2 y^{\prime }+1 = 0
\]
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| \[
{} \left (1+{y^{\prime }}^{2}\right ) x = \left (x +y\right ) y^{\prime }
\]
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| \[
{} x^{2}-3 y y^{\prime }+x {y^{\prime }}^{2} = 0
\]
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| \[
{} 2 x y^{\prime }+y = x {y^{\prime }}^{2}
\]
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| \[
{} x = {y^{\prime }}^{2}+y^{\prime }
\]
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| \[
{} x = y-{y^{\prime }}^{3}
\]
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| \[
{} x +2 y y^{\prime } = x {y^{\prime }}^{2}
\]
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| \[
{} 4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\]
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| \[
{} x {y^{\prime }}^{3} = y y^{\prime }+1
\]
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| \[
{} y \left (1+{y^{\prime }}^{2}\right ) = 2 x y^{\prime }
\]
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| \[
{} 2 x +x {y^{\prime }}^{2} = 2 y y^{\prime }
\]
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| \[
{} x = y y^{\prime }+{y^{\prime }}^{2}
\]
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| \[
{} 4 x {y^{\prime }}^{2}+2 x y^{\prime } = y
\]
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| \[
{} y = y^{\prime } x \left (1+y^{\prime }\right )
\]
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| \[
{} 2 x {y^{\prime }}^{3}+1 = y {y^{\prime }}^{2}
\]
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| \[
{} {y^{\prime }}^{3}+y y^{\prime } x = 2 y^{2}
\]
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| \[
{} 3 {y^{\prime }}^{4} x = {y^{\prime }}^{3} y+1
\]
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| \[
{} 2 {y^{\prime }}^{5}+2 x y^{\prime } = y
\]
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| \[
{} \frac {1}{{y^{\prime }}^{2}}+x y^{\prime } = 2 y
\]
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| \[
{} 2 y = 3 x y^{\prime }+4+2 \ln \left (y^{\prime }\right )
\]
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| \[
{} y = x y^{\prime }+{y^{\prime }}^{2}
\]
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| \[
{} y = x y^{\prime }+\frac {1}{y^{\prime }}
\]
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| \[
{} y = x y^{\prime }-\sqrt {y^{\prime }}
\]
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| \[
{} y = x y^{\prime }+\ln \left (y^{\prime }\right )
\]
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| \[
{} y = x y^{\prime }+\frac {3}{{y^{\prime }}^{2}}
\]
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| \[
{} y = x y^{\prime }-{y^{\prime }}^{{2}/{3}}
\]
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| \[
{} y = x y^{\prime }+{\mathrm e}^{y^{\prime }}
\]
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| \[
{} \left (y-x y^{\prime }\right )^{2} = 1+{y^{\prime }}^{2}
\]
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| \[
{} x {y^{\prime }}^{2}-y y^{\prime }-2 = 0
\]
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| \[
{} y^{2}-2 y y^{\prime } x +{y^{\prime }}^{2} \left (x^{2}-1\right ) = 0
\]
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| \[
{} y^{\prime } = 2
\]
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| \[
{} y^{\prime } = 2 \,{\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime } = \frac {2}{\sqrt {-x^{2}+1}}
\]
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| \[
{} y^{\prime } = {\mathrm e}^{x^{2}}
\]
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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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| \[
{} y^{\prime } = x y
\]
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| \[
{} y^{\prime } = x^{2} y^{2}
\]
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| \[
{} y^{\prime } = -x \,{\mathrm e}^{y}
\]
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| \[
{} y^{\prime } \sin \left (y\right ) = x^{2}
\]
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| \[
{} x y^{\prime } = \sqrt {1-y^{2}}
\]
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| \[
{} {y^{\prime }}^{2}-y^{2} = 0
\]
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| \[
{} {y^{\prime }}^{2}-3 y^{\prime }+2 = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime } = 1
\]
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| \[
{} y^{\prime } \sin \left (x \right ) = 1
\]
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| \[
{} y^{\prime } = t^{2}+3
\]
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| \[
{} y^{\prime } = t \,{\mathrm e}^{2 t}
\]
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| \[
{} y^{\prime } = \sin \left (3 t \right )
\]
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| \[
{} y^{\prime } = \sin \left (t \right )^{2}
\]
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| \[
{} y^{\prime } = \frac {t}{t^{2}+4}
\]
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| \[
{} y^{\prime } = \ln \left (t \right )
\]
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| \[
{} y^{\prime } = \frac {t}{\sqrt {t}+1}
\]
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| \[
{} y^{\prime } = 2 y-4
\]
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| \[
{} y^{\prime } = -y^{3}
\]
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| \[
{} y^{\prime } = \frac {{\mathrm e}^{t}}{y}
\]
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| \[
{} y^{\prime } = t \,{\mathrm e}^{2 t}
\]
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| \[
{} y^{\prime } = \sin \left (t \right )^{2}
\]
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| \[
{} y^{\prime } = 8 \,{\mathrm e}^{4 t}+t
\]
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| \[
{} y^{\prime } = \frac {y}{t}
\]
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| \[
{} y^{\prime } = -\frac {t}{y}
\]
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| \[
{} y^{\prime } = y^{2}-y
\]
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| \[
{} y^{\prime } = -1+y
\]
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| \[
{} y^{\prime } = 1-y
\]
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| \[
{} y^{\prime } = y^{3}-y^{2}
\]
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| \[
{} y^{\prime } = 1-y^{2}
\]
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| \[
{} y^{\prime } = \left (t^{2}+1\right ) y
\]
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| \[
{} y^{\prime } = -y
\]
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| \[
{} y^{\prime } = 2 y+{\mathrm e}^{-3 t}
\]
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| \[
{} y^{\prime } = 2 y+{\mathrm e}^{2 t}
\]
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| \[
{} y^{\prime } = -y+t
\]
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| \[
{} 2 y+t y^{\prime } = \sin \left (t \right )
\]
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| \[
{} y^{\prime } = \tan \left (t \right ) y+\sec \left (t \right )
\]
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| \[
{} y^{\prime } = \frac {2 t y}{t^{2}+1}+t +1
\]
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| \[
{} y^{\prime } = \tan \left (t \right ) y+\sec \left (t \right )^{3}
\]
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| \[
{} y^{\prime } = y
\]
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| \[
{} y^{\prime } = 2 y
\]
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| \[
{} t y^{\prime } = y+t^{3}
\]
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| \[
{} y^{\prime } = -\tan \left (t \right ) y+\sec \left (t \right )
\]
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| \[
{} y^{\prime } = \frac {2 y}{t +1}
\]
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| \[
{} t y^{\prime } = -y+t^{3}
\]
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| \[
{} y^{\prime }+4 \tan \left (2 t \right ) y = \tan \left (2 t \right )
\]
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| \[
{} t \ln \left (t \right ) y^{\prime } = t \ln \left (t \right )-y
\]
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| \[
{} y^{\prime } = \frac {2 y}{-t^{2}+1}+3
\]
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