| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-9 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 }-5 x y^{\prime }+9 y = 0
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| \[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+5 y = 0
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| \[
{} x y^{\prime \prime }+y^{\prime }-x 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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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 5 \,{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }+16 y = 4 \cos \left (x \right )
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 9 x^{2}+4
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| \[
{} y^{\prime \prime }+y = \tan \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} 5 y^{\prime \prime }+2 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+4 y = 1
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| \[
{} y^{\prime \prime }+y^{\prime }+4 y = \sin \left (x \right )
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| \[
{} t y^{\prime \prime }+4 y^{\prime } = t^{2}
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| \[
{} \left (t^{2}+9\right ) y^{\prime \prime }+2 t y^{\prime } = 0
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| \[
{} t^{2} y^{\prime \prime }-3 t y^{\prime }+5 y = 0
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| \[
{} t y^{\prime \prime }+y^{\prime } = 0
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| \[
{} t^{2} y^{\prime \prime }-2 y^{\prime } = 0
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| \[
{} y^{\prime \prime }+\frac {\left (t^{2}-1\right ) y^{\prime }}{t}+\frac {t^{2} y}{\left (1+{\mathrm e}^{\frac {t^{2}}{2}}\right )^{2}} = 0
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| \[
{} t y^{\prime \prime }-y^{\prime }+4 t^{3} y = 0
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| \[
{} y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime } = 1
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| \[
{} y^{\prime \prime } = f \left (t \right )
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| \[
{} y^{\prime \prime } = k
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| \[
{} y^{\prime \prime } = 4 \sin \left (x \right )-4
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| \[
{} y y^{\prime \prime } = 0
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| \[
{} y^{2} y^{\prime \prime } = 0
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| \[
{} a y y^{\prime \prime }+b y = 0
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| \[
{} z^{\prime \prime }+3 z^{\prime }+2 z = 24 \,{\mathrm e}^{-3 t}-24 \,{\mathrm e}^{-4 t}
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-2 x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-3 x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{2}-x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{3}+2 = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{4}-6 = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{5}+24 = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{2} = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{3} = 0
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| \[
{} y^{\prime \prime }-a x y^{\prime }-b x y-c x = 0
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| \[
{} y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{2} = 0
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| \[
{} y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{3} = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x^{2} = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-x y-x^{2}-2 = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }-x y-x^{2}-4 = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x^{3}+1 = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-x y-x^{3}-x^{2} = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x^{3}+2 = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-x y-x^{3}+2 = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }-x y-x^{3}+2 = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }-x y-x^{3}+2 = 0
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| \[
{} y^{\prime \prime }-8 y^{\prime }-x y-x^{3}+2 = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x^{4}+3 = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-x y-x^{3} = 0
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| \[
{} y^{\prime \prime }-x y-x^{3}+2 = 0
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| \[
{} y^{\prime \prime }-x y-x^{6}+64 = 0
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| \[
{} y^{\prime \prime }-x y-x = 0
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| \[
{} y^{\prime \prime }-x y-x^{2} = 0
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| \[
{} y^{\prime \prime }-x y-x^{3} = 0
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| \[
{} y^{\prime \prime }-x y-x^{6}-x^{3}+42 = 0
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| \[
{} y^{\prime \prime }-x^{2} y-x^{2} = 0
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| \[
{} y^{\prime \prime }-x^{2} y-x^{3} = 0
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| \[
{} y^{\prime \prime }-x^{2} y-x^{4} = 0
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| \[
{} y^{\prime \prime }-x^{2} y-x^{4}+2 = 0
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| \[
{} y^{\prime \prime }-2 x^{2} y-x^{4}+1 = 0
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| \[
{} y^{\prime \prime }-x^{3} y-x^{3} = 0
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| \[
{} y^{\prime \prime }-x^{3} y-x^{4} = 0
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{2} y-x^{2} = 0
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| \[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{3} = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-x y-x^{2} = 0
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{2} y-x^{3}-x^{2} = 0
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{3} y-x^{4}-x^{2} = 0
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x y-x^{2}-\frac {1}{x} = 0
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x^{2} y-x^{3}-\frac {1}{x} = 0
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x^{3} y-x^{4}-\frac {1}{x} = 0
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| \[
{} y^{\prime \prime }-x^{3} y^{\prime }-x y-x^{3}-x^{2} = 0
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{} y^{\prime \prime }-x^{3} y^{\prime }-x^{2} y-x^{3} = 0
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| \[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{4}-x^{3} = 0
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| \[
{} y^{\prime \prime }+c y^{\prime }+k y = 0
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| \[
{} y^{\prime \prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
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| \[
{} x^{4} y^{\prime \prime }+x^{3} y^{\prime }-4 x^{2} y = 1
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