| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = \tan \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }-10 y = x \ln \left (x \right )
\]
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| \[
{} 3 x^{2} y^{\prime \prime }-2 x y^{\prime }-8 y = 5+3 x
\]
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| \[
{} x y^{\prime \prime }-2 y^{\prime }+\frac {\left (x^{2}+2\right ) y}{x} = 4+\tan \left (x \right )
\]
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| \[
{} 3 x y^{\prime \prime \prime }-4 x y = \cos \left (y\right )
\]
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| \[
{} y^{\prime \prime \prime }-3 x y^{\prime \prime }+4 y = x^{2}
\]
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| \[
{} 3 x y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime } = 3 \cos \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = x^{3}
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }-8 y = {\mathrm e}^{x} \left (x^{2}+2\right )
\]
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| \[
{} 5 x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = \sqrt {x}
\]
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = x^{{1}/{4}} \ln \left (x \right )
\]
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| \[
{} -3 y+x y^{\prime }+2 x^{2} y^{\prime \prime } = \frac {1}{x^{3}}
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+7 x y^{\prime }-3 y = \frac {\ln \left (x \right )}{x^{2}}
\]
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| \[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = \ln \left (x \right ) \left (\frac {1}{x^{3}}+\frac {1}{x^{5}}\right )
\]
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| \[
{} -3 y+x y^{\prime }+2 x^{2} y^{\prime \prime } = \frac {1}{x^{3}}
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = \left (x^{2}+1\right )^{2}
\]
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| \[
{} y^{\left (5\right )}-y^{\prime }-\frac {4 y}{x} = 0
\]
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| \[
{} x \left (1-2 x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+4 x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (4 x +2\right ) y = {\mathrm e}^{2 x} \left (1-2 x \ln \left (x \right )\right )^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = \ln \left (x \right )
\]
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| \[
{} x y^{\prime \prime }-2 y^{\prime } \left (1+x \right )+\left (x +2\right ) y = 1
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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| \[
{} \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} x y^{\prime \prime } = x^{2}+1
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }-y^{\prime } \left (1+x \right )+x = 0
\]
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| \[
{} 3 y y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 2 x
\]
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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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| \[
{} \sin \left (x \right ) y^{\prime \prime } = y^{\prime }
\]
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| \[
{} \left (2+3 y\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = x
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = x
\]
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| \[
{} 6 x^{2} y^{\prime \prime }-5 x y^{\prime }+4 y = 0
\]
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{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+\left (3 x -9\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 6
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-x y = 2 x
\]
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| \[
{} y^{\prime \prime }+p \left (x \right ) y^{\prime }+q \left (x \right ) y = 0
\]
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| \[
{} x \left (x -1\right ) y^{\prime \prime }+\left (-x^{2}+2 x +1\right ) y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = \ln \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+a x y^{\prime }+b y = f \left (x \right )
\]
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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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| \[
{} x y^{\prime \prime } = y^{\prime }+x^{5}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x = 0
\]
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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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| \[
{} y^{\prime \prime } \cos \left (x \right ) = y^{\prime }
\]
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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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| \[
{} -x^{2} y^{\prime }+x^{3} y^{\prime \prime } = -x^{2}+3
\]
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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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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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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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| \[
{} y^{\prime \prime } = 2 x +\left (x^{2}-y^{\prime }\right )^{2}
\]
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| \[
{} {y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }+x^{2} = 0
\]
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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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| \[
{} 3 y y^{\prime } y^{\prime \prime } = -1+{y^{\prime }}^{3}
\]
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| \[
{} 4 y {y^{\prime }}^{2} y^{\prime \prime } = 3+{y^{\prime }}^{4}
\]
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| \[
{} y^{\prime \prime }-y y^{\prime } = 6
\]
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| \[
{} y^{\prime \prime }+\sin \left (y\right ) = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+y^{4} = 0
\]
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| \[
{} y^{\left (5\right )}+t y^{\prime \prime }-3 y = 0
\]
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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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| \[
{} 3 t^{2} y^{\prime \prime }+2 t y^{\prime }+y = {\mathrm e}^{2 t}
\]
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| \[
{} y^{\prime \prime }+\sqrt {y^{\prime }}+y = t
\]
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| \[
{} y^{\prime \prime }+\sqrt {t}\, y^{\prime }+y = \sqrt {t}
\]
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| \[
{} y^{\prime \prime }-2 y = t y
\]
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| \[
{} y^{\prime \prime }+2 y+t \sin \left (y\right ) = 0
\]
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