| # | ODE | Mathematica | Maple | Sympy |
| \[
{} \left (x^{2}-3 x +1\right ) y^{\prime \prime }-\left (x^{2}-x -2\right ) y^{\prime }+\left (2 x -3\right ) y = x \left (x^{2}-3 x +1\right )^{2}
\]
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| \[
{} x y^{\prime \prime }-\frac {\left (1-2 x \right ) y^{\prime }}{1-x}+\frac {\left (x^{2}-3 x +1\right ) y}{1-x} = \left (1-x \right )^{2}
\]
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| \[
{} x y^{\prime \prime }-y^{\prime } = 3 x^{2}
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 2
\]
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| \[
{} \left (x -1\right )^{2} y^{\prime \prime }-4 \left (x -1\right ) y^{\prime }-14 y = x^{3}-3 x^{2}+3 x -8
\]
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| \[
{} \left (1-\frac {1}{x}\right ) u^{\prime \prime }+\left (\frac {2}{x}-\frac {2}{x^{2}}-\frac {1}{x^{3}}\right ) u^{\prime }-\frac {u}{x^{4}} = \frac {2}{x}-\frac {2}{x^{2}}-\frac {2}{x^{3}}
\]
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| \[
{} \left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x^{2}+4 x -3\right ) y^{\prime }+8 x y = 1
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 16 x^{3}
\]
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| \[
{} t y^{\prime \prime }+t^{2} y^{\prime }-\sin \left (t \right ) \sqrt {t} = t^{2}-t +1
\]
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| \[
{} t^{2} s^{\prime \prime }-t s^{\prime } = 1-\sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }-\frac {y}{x} = x^{2}
\]
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| \[
{} y^{\prime \prime }+2 x y = x
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 2 x^{2}
\]
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| \[
{} x y^{\prime \prime }-3 y^{\prime } = 4 x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime } = x^{2}+1
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| \[
{} y^{\prime \prime }+x y^{\prime } = x
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| \[
{} x y^{\prime \prime }+y^{\prime } = 1
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| \[
{} u^{\prime \prime }+\frac {u^{\prime }}{r} = 4-4 r
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }-y = 1
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{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = x^{3}
\]
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| \[
{} y^{\prime \prime }+\left (1-x \right ) y^{\prime }-x y = x
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = x
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x \,{\mathrm e}^{-x}
\]
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| \[
{} x^{2} y^{\prime \prime }-2 y = x
\]
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{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = \ln \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = x^{2}+16 \ln \left (x \right )^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }+y = 16 \sin \left (\ln \left (x \right )\right )
\]
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| \[
{} t^{2} i^{\prime \prime }+2 i^{\prime } t +i = t \ln \left (t \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = \sqrt {x}+\frac {1}{\sqrt {x}}
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime } = 5 \ln \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y = x^{2}-4 x +2
\]
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| \[
{} \left (2 x +3\right )^{2} y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }-2 y = 24 x^{2}
\]
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| \[
{} \left (x +2\right )^{2} y^{\prime \prime }-y = 4
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 3 x -2
\]
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{} x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }+y = \frac {1}{x^{2}}
\]
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{} x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 24+24 x
\]
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{} y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1-\frac {1}{4 x^{2}}\right ) y = \sqrt {x}
\]
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| \[
{} y+x y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
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| \[
{} x^{2} y^{\prime \prime }+y^{\prime } = 2
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {y-y^{\prime }}{x}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 3
\]
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| \[
{} x^{2} y^{\prime \prime }-{\mathrm e}^{x} y^{\prime }-2 = 0
\]
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| \[
{} y^{\prime \prime }+x y = x
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| \[
{} \sin \left (x \right ) y^{\prime \prime }+x y^{\prime }+y = 2
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right )+3 y = 1
\]
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{} 2 x y^{\prime \prime }-7 \cos \left (x \right ) y^{\prime }+y = {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right )+y = \sin \left (x \right )
\]
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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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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = x^{3}
\]
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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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| \[
{} x \left (1-2 x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+4 x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (4 x +2\right ) y = {\mathrm e}^{2 x} \left (1-2 x \ln \left (x \right )\right )^{2}
\]
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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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| \[
{} x y^{\prime \prime } = x^{2}+1
\]
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{} \left (x +2\right ) y^{\prime \prime }-y^{\prime } \left (1+x \right )+x = 0
\]
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{} \left (-x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 2 x
\]
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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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{} 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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{} 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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{} x y^{\prime \prime } = y^{\prime }+x^{5}
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{} x y^{\prime \prime }+y^{\prime }+x = 0
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{} -x^{2} y^{\prime }+x^{3} y^{\prime \prime } = -x^{2}+3
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{} 3 t^{2} y^{\prime \prime }+2 t y^{\prime }+y = {\mathrm e}^{2 t}
\]
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| \[
{} y^{\prime \prime }+\sqrt {t}\, y^{\prime }+y = \sqrt {t}
\]
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{} t^{2} y^{\prime \prime }+t y^{\prime }-y = \sqrt {t}
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{} t^{2} y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = t^{2} {\mathrm e}^{-t}
\]
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{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t
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{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t
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{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t
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{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t
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{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t
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{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t}
\]
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{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t}
\]
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{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t}
\]
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{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t}
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{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 2 t \,{\mathrm e}^{-t}
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| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5}
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{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5}
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{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5}
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{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5}
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{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = t^{5}
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{} t^{2} y^{\prime \prime }+3 t y^{\prime }-4 y = t^{4}
\]
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| \[
{} \sin \left (t \right ) y^{\prime \prime }+y = \cos \left (t \right )
\]
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| \[
{} \left (t^{2}+1\right ) y^{\prime \prime }-t y^{\prime }+t^{2} y = \cos \left (t \right )
\]
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| \[
{} t \left (t^{2}-4\right ) y^{\prime \prime }+y = {\mathrm e}^{t}
\]
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