| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+p \left (x \right ) y^{\prime }+q \left (x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \,{\mathrm e}^{x} y^{\prime }+\left (x^{3}-1\right ) y = 0
\]
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| \[
{} 8 x^{2} y^{\prime \prime }+10 x y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} -y+y^{\prime } \left (1+x \right )+2 \left (1-x \right ) x y^{\prime \prime } = 0
\]
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| \[
{} 4 x y^{\prime \prime }+2 y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{2 x}+\frac {y}{4 x} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (\frac {1}{2} x +x^{2}\right ) y^{\prime }+x y = 0
\]
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| \[
{} 18 x^{2} y^{\prime \prime }+3 x \left (x +5\right ) y^{\prime }-\left (10 x +1\right ) y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+7 x \left (1+x \right ) y^{\prime }-3 y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-2 x \right ) y^{\prime }+2 y = 0
\]
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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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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}-2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-\left (x +4\right ) y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} 2 \left (1-x \right ) y^{\prime \prime }+y^{\prime } \left (1+x \right )+\left (x -3-\left (x -1\right )^{2} {\mathrm e}^{x}\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }-\left (x^{2}+\frac {5}{4}\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (1-2 x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x +3\right ) y^{\prime }+\left (x^{2}+x +1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }+y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-\lambda y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-p^{2}+x^{2}\right ) y = 0
\]
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| \[
{} -b y a +\left (c -\left (1+a +b \right ) x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x^{3}
\]
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| \[
{} x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 x y^{\prime }-8 y = 4 \ln \left (x \right )
\]
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| \[
{} x^{4} y^{\prime \prime \prime \prime }+4 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+x y^{\prime }-y = -\ln \left (x \right )
\]
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+p y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} 2 y^{\prime \prime \prime }+x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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| \[
{} \left (2 x -1\right ) y^{\prime \prime }-3 y^{\prime } = 0
\]
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| \[
{} \left (2 x^{2}+1\right ) y^{\prime \prime }+3 x y^{\prime }-6 y = 0
\]
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| \[
{} \left (x^{2}-2 x \right ) y^{\prime \prime }+\left (3 x +1\right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-3 x \right ) y^{\prime }+\left (x +4\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-\left (x +2\right ) y = 0
\]
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| \[
{} y^{\prime }-y^{2}-x = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-n^{2}+x^{2}\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }-8 x y^{\prime }+20 y = 0
\]
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| \[
{} \left (x^{2}-4\right ) y^{\prime \prime }+y = 0
\]
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| \[
{} \left (x^{2}-4\right ) y^{\prime \prime }+y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+7 x \left (1+x \right ) y^{\prime }-3 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 x y = 0
\]
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| \[
{} \left (x -2\right ) y^{\prime \prime }+3 \left (x^{2}-3 x +2\right ) y^{\prime }+\left (x -2\right )^{2} x y = 0
\]
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| \[
{} \left (1+x \right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+x y = 0
\]
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| \[
{} \left (1+x \right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+x y = 0
\]
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| \[
{} x^{3} y^{\prime \prime }+y = 0
\]
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| \[
{} x^{3} y^{\prime \prime }+x y = 0
\]
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| \[
{} {\mathrm e}^{x} y^{\prime \prime }+y^{\prime } \sin \left (x \right )+x y = 0
\]
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| \[
{} \left (1+x \right )^{3} y^{\prime \prime }+\left (x^{2}-1\right ) \left (1+x \right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x^{4} \left (x^{2}-4\right ) y^{\prime \prime }+y^{\prime } \left (1+x \right )+\left (x^{2}-3 x +2\right ) y = 0
\]
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| \[
{} 2 y-x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-\left (x -2\right ) y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+\left (2 x -1\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+\left (2 x -1\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y = 0
\]
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| \[
{} y^{\prime \prime }+x y = 2
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| \[
{} \left (x^{2}+4\right ) y^{\prime \prime }+x y = x +2
\]
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| \[
{} y^{\prime \prime }+\left (x -1\right ) y = {\mathrm e}^{x}
\]
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| \[
{} n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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{} \left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-x y = 0
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| \[
{} y^{\prime \prime }-x y = 0
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }+\left (x +2\right ) y = 0
\]
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| \[
{} \left (x^{2}+4\right ) y^{\prime \prime }+y = x
\]
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| \[
{} y^{\prime \prime }-\left (x -1\right ) y^{\prime } = x^{2}-2 x
\]
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| \[
{} y^{\prime \prime }-x y^{\prime } = {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+x^{2} y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y = x^{2}
\]
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| \[
{} 8 x^{2} y^{\prime \prime }+10 x y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+7 x \left (1+x \right ) y^{\prime }-3 y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-2 x \right ) y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}+2 x \right ) y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \,{\mathrm e}^{x} y^{\prime }+\left (x^{3}-1\right ) y = 0
\]
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| \[
{} -b y a +\left (c -\left (1+a +b \right ) x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime } = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (1-x \right ) y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }+y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }-2 x y^{\prime }-\left (x^{2}+2\right ) y = 0
\]
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| \[
{} -y+y^{\prime }+x y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{3} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y = 0
\]
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| \[
{} x y^{\prime \prime }-y^{\prime } \left (1+x \right )-y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+\left (2 x^{2}+4 x \right ) y^{\prime }+\left (3 x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-3 x \right ) y^{\prime }+\left (3 x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-2\right ) y = 0
\]
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