| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 2 y^{\prime \prime }+x y^{\prime }+y = 0
\]
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| \[
{} \left (x^{2}+4\right ) y^{\prime \prime }-y^{\prime }+y = 0
\]
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| \[
{} y-x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime } \left (1+x \right )-x y = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }+y^{\prime } \left (1+x \right )+y = 0
\]
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| \[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+\left (x +2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} x y^{\prime \prime }-4 y^{\prime }+x y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+4 x^{2} y^{\prime }+2 y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }-\left (x -1\right ) y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } \left (1+x \right )+y = 0
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+\left (x^{2}+x \right ) y^{\prime }+x y = 0
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }+\left (x^{2}+2 x \right ) y^{\prime }-x y = 0
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+\left (2 x^{3}-x^{2}\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{3} y^{\prime \prime }+x^{2} y^{\prime }+y = 0
\]
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| \[
{} 9 \left (x -2\right )^{2} \left (x -3\right ) y^{\prime \prime }+6 x \left (x -2\right ) y^{\prime }+16 y = 0
\]
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| \[
{} p \left (p +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime } = -x +y^{2}
\]
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| \[
{} y^{\prime }-2 y = x^{2}
\]
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| \[
{} y^{\prime } = y+x \,{\mathrm e}^{y}
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime } = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime } = 0
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| \[
{} y^{\prime \prime }-x y = 0
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| \[
{} y^{\prime \prime }+x^{2} y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+y = 0
\]
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| \[
{} 2 y-x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+x^{2} y^{\prime }+x y = 0
\]
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime } \left (1+x \right )-y = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }-6 y = 0
\]
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| \[
{} \left (x^{2}+2\right ) y^{\prime \prime }+3 x y^{\prime }-y = 0
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} \left (1+x \right ) y^{\prime \prime }-\left (2-x \right ) y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+8 y = 0
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = 0
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| \[
{} y^{\prime \prime }+\sin \left (x \right ) y = 0
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| \[
{} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right )+y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime } \cos \left (x \right )+y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }-x y = 1
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| \[
{} y^{\prime \prime }-4 x y^{\prime }-4 y = {\mathrm e}^{x}
\]
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| \[
{} x y^{\prime \prime }+\sin \left (x \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+5 x y^{\prime }+y \sqrt {x} = 0
\]
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| \[
{} y+x y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+y \cos \left (x \right ) = 0
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| \[
{} x^{3} y^{\prime \prime }+4 x^{2} y^{\prime }+3 y = 0
\]
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| \[
{} x \left (x +3\right )^{2} y^{\prime \prime }-y = 0
\]
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| \[
{} \left (x^{2}-9\right )^{2} y^{\prime \prime }+\left (x +3\right ) y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}+\frac {y}{\left (x -1\right )^{3}} = 0
\]
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| \[
{} \left (x^{3}+4 x \right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0
\]
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| \[
{} x^{2} \left (x -5\right )^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}-25\right ) y = 0
\]
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| \[
{} \left (x^{2}+x -6\right ) y^{\prime \prime }+\left (x +3\right ) y^{\prime }+\left (x -2\right ) y = 0
\]
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| \[
{} x \left (x^{2}+1\right )^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} x^{3} \left (x^{2}-25\right ) \left (x -2\right )^{2} y^{\prime \prime }+3 x \left (x -2\right ) y^{\prime }+7 \left (x +5\right ) y = 0
\]
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| \[
{} \left (x^{3}-2 x^{2}+3 x \right )^{2} y^{\prime \prime }+x \left (x -3\right )^{2} y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime \prime }+5 y^{\prime } \left (1+x \right )+\left (x^{2}-x \right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (x +3\right ) y^{\prime }+7 x^{2} y = 0
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| \[
{} x^{2} y^{\prime \prime }+\left (\frac {5}{3} x +x^{2}\right ) y^{\prime }-\frac {y}{3} = 0
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| \[
{} x y^{\prime \prime }+y^{\prime }+10 y = 0
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| \[
{} 2 x y^{\prime \prime }-y^{\prime }+2 y = 0
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| \[
{} 2 x y^{\prime \prime }+5 y^{\prime }+x y = 0
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| \[
{} 4 x y^{\prime \prime }+\frac {y^{\prime }}{2}+y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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| \[
{} 3 x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-\left (x -\frac {2}{9}\right ) y = 0
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| \[
{} 2 x y^{\prime \prime }-\left (2 x +3\right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {4}{9}\right ) y = 0
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| \[
{} 9 x^{2} y^{\prime \prime }+9 x^{2} y^{\prime }+2 y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (2 x -1\right ) y = 0
\]
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| \[
{} -x y+2 y^{\prime }+x y^{\prime \prime } = 0
\]
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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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| \[
{} x y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {3 y^{\prime }}{x}-2 y = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} x y^{\prime \prime }+\left (x -6\right ) y^{\prime }-3 y = 0
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| \[
{} x \left (x -1\right ) y^{\prime \prime }+3 y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{t}+\lambda y = 0
\]
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| \[
{} x^{3} y^{\prime \prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }+y = 0
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| \[
{} 2 x y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-y = 0
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{} \left (x -1\right ) y^{\prime \prime }+3 y = 0
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| \[
{} x y-x^{2} y^{\prime }+y^{\prime \prime } = 0
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| \[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime } \cos \left (x \right )+y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }+3 y = 0
\]
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| \[
{} \left (1-2 \sin \left (x \right )\right ) y^{\prime \prime }+x y = 0
\]
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| \[
{} y+x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }+\left (1-\cos \left (x \right )\right ) y^{\prime }+x^{2} y = 0
\]
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| \[
{} \left ({\mathrm e}^{x}-1-x \right ) y^{\prime \prime }+x y = 0
\]
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