| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 0
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| \[
{} x y^{\prime \prime }+\left (x^{2}-1\right ) y^{\prime }+x^{3} y = 0
\]
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| \[
{} y^{\prime \prime }+3 x y^{\prime }+x^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }-10 y = 6 \,{\mathrm e}^{4 x}
\]
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| \[
{} y^{\prime \prime }+4 y = 3 \sin \left (x \right )
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| \[
{} y^{\prime \prime }+10 y^{\prime }+25 y = 14 \,{\mathrm e}^{-5 x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 25 x^{2}+12
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 20 \,{\mathrm e}^{-2 x}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 14 \sin \left (2 x \right )-18 \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime } = 12 x -10
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = 6 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime } = 10 x^{4}+2
\]
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| \[
{} y^{\prime \prime }+k^{2} y = \sin \left (b x \right )
\]
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| \[
{} y^{\prime \prime }+4 y = 4 \cos \left (2 x \right )+6 \cos \left (x \right )+8 x^{2}-4 x
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| \[
{} y^{\prime \prime }+9 y = 2 \sin \left (3 x \right )+4 \sin \left (x \right )-26 \,{\mathrm e}^{-2 x}+27 x^{3}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 x
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{} y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{-x}
\]
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{} y^{\prime \prime }+4 y = \tan \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-x} \ln \left (x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 64 x \,{\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{-x} \sec \left (2 x \right )
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-3 x}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \frac {1}{1+{\mathrm e}^{-x}}
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
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| \[
{} y^{\prime \prime }+y = \cot \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+y = \cot \left (2 x \right )
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| \[
{} y^{\prime \prime }+y = x \cos \left (x \right )
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{} y^{\prime \prime }+y = \tan \left (x \right )
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| \[
{} y^{\prime \prime }+y = \tan \left (x \right ) \sec \left (x \right )
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right ) \csc \left (x \right )
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| \[
{} \left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = \left (x^{2}-1\right )^{2}
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| \[
{} \left (x^{2}+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y = x \left (1+x \right )^{2}
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| \[
{} -y+x y^{\prime }+\left (1-x \right ) y^{\prime \prime } = \left (1-x \right )^{2}
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| \[
{} y-y^{\prime } \left (1+x \right )+x y^{\prime \prime } = x^{2} {\mathrm e}^{2 x}
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x \,{\mathrm e}^{-x}
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{} y^{\prime \prime }-4 y = {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-y = x^{2} {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 10 x^{3} {\mathrm e}^{-2 x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-y = {\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 \,{\mathrm e}^{5 x}
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| \[
{} y^{\prime \prime }-y^{\prime }+y = x^{3}-3 x^{2}+1
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| \[
{} 4 y^{\prime \prime }+y = x^{4}
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| \[
{} y^{\prime \prime }+y^{\prime }-y = -x^{4}+3 x
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| \[
{} y^{\prime \prime }+y = x^{4}
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = x^{3} {\mathrm e}^{2 x}
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| \[
{} 12 y-7 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x} \left (x^{3}-5 x^{2}\right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 2 x^{2} {\mathrm e}^{-2 x}+3 \,{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{2 x} \sin \left (x \right )
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| \[
{} y+x y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 2
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| \[
{} y^{\prime \prime }+y^{\prime } = 3 x^{2}
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-x} \sin \left (x \right )
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| \[
{} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = 0
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| \[
{} x y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }-\left (9+4 x \right ) y = 0
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| \[
{} x y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }+\left (x +3\right ) y = 3 \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }+x^{2} y = 0
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| \[
{} y^{\prime \prime }+a^{2} y = f \left (x \right )
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 4 \,{\mathrm e}^{3 t}
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = t
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| \[
{} y^{\prime \prime }-y^{\prime } = t^{2}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = f \left (t \right )
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| \[
{} x^{\prime \prime }+\left (5 x^{4}-9 x^{2}\right ) x^{\prime }+x^{5} = 0
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| \[
{} t^{2} x^{\prime \prime }-6 t x^{\prime }+12 x = 0
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{} t^{2} x^{\prime \prime }-2 t x^{\prime }+2 x = 0
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| \[
{} x^{\prime \prime }-5 x^{\prime }+6 x = 0
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| \[
{} x^{\prime \prime }-4 x^{\prime }+4 x = 0
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| \[
{} x^{\prime \prime }-4 x^{\prime }+5 x = 0
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| \[
{} x^{\prime \prime }+3 x^{\prime } = 0
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| \[
{} x^{\prime \prime }-3 x^{\prime }+2 x = 0
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| \[
{} x^{\prime \prime }+x = 0
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| \[
{} x^{\prime \prime }+2 x^{\prime }+x = 0
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| \[
{} x^{\prime \prime }-2 x^{\prime }+2 x = 0
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| \[
{} x^{\prime \prime }-x = t^{2}
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| \[
{} x^{\prime \prime }-x = {\mathrm e}^{t}
\]
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| \[
{} x^{\prime \prime }+2 x^{\prime }+4 x = {\mathrm e}^{t} \cos \left (2 t \right )
\]
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| \[
{} x^{\prime \prime }-x^{\prime }+x = \sin \left (2 t \right )
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{} x^{\prime \prime }+4 x^{\prime }+3 x = t \sin \left (t \right )
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{} x^{\prime \prime }+x = \cos \left (t \right )
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| \[
{} x^{2} y^{\prime \prime }-\frac {x^{2} {y^{\prime }}^{2}}{2 y}+4 x y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+k^{2} y = 0
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| \[
{} \sin \left (x \right ) y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+n y \sin \left (x \right ) = 0
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| \[
{} v^{\prime \prime } = \left (\frac {1}{v}+{v^{\prime }}^{4}\right )^{{1}/{3}}
\]
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| \[
{} \sqrt {y^{\prime }+y} = \left (y^{\prime \prime }+2 x \right )^{{1}/{4}}
\]
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| \[
{} \theta ^{\prime \prime } = -p^{2} \theta
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| \[
{} y^{\prime \prime } = \frac {m \sqrt {1+{y^{\prime }}^{2}}}{k}
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| \[
{} \phi ^{\prime \prime } = \frac {4 \pi n c}{\sqrt {v_{0}^{2}+\frac {2 e \left (\phi -V_{0} \right )}{m}}}
\]
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| \[
{} \theta ^{\prime \prime }-p^{2} \theta = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+12 y = 7 y^{\prime }
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{} r^{\prime \prime }-a^{2} r = 0
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{} v^{\prime \prime }-6 v^{\prime }+13 v = {\mathrm e}^{-2 u}
\]
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{} y^{\prime \prime }+4 y^{\prime }-y = \sin \left (t \right )
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| \[
{} y^{\prime \prime }+3 y = \sin \left (x \right )+\frac {\sin \left (3 x \right )}{3}
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = \frac {1}{x}
\]
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