| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-3 x}
\]
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{} y^{\prime \prime }-y = x^{2} {\mathrm e}^{x}
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{} y^{\prime \prime }-y = {\mathrm e}^{-x^{2}}
\]
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{} y^{\prime \prime }-4 y^{\prime }+4 y = \sqrt {x}
\]
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{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-y = 1
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
\]
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{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{x}-{\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }-y = 2 x^{4}-3 x +1
\]
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{} y^{\prime \prime }+y^{\prime } = 4 x^{3}-2 \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }+2 y^{\prime }+y = x^{2} {\mathrm e}^{-x}+1
\]
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{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{2 x} \sin \left (3 x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = {\mathrm e}^{4 x}
\]
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{} y^{\prime \prime }-4 y^{\prime }+3 y = x^{3} {\mathrm e}^{2 x}
\]
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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 }+y = x^{2} \cos \left (x \right )
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{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }+y = 0
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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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{} y^{\prime \prime } = \frac {\frac {4 x}{25}-\frac {4 y}{25}}{x^{2}}
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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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{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
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{} x^{2} y^{\prime \prime }-x y^{\prime }+4 y = 0
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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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| \[
{} \left (r^{2}+r \right ) R^{\prime \prime }+r R^{\prime }-n \left (n +1\right ) R = 0
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| \[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2} = 0
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| \[
{} x y^{\prime \prime }-y^{\prime }-4 x^{3} y = 0
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{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 3 x -2
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| \[
{} \sin \left (x \right ) y^{\prime \prime }+\left (3 \sin \left (x \right )^{2}-\cos \left (x \right )\right ) y^{\prime }+2 \sin \left (x \right )^{3} y = 0
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{} x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }+y = \frac {1}{x^{2}}
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{} y^{\prime \prime }+3 y = x^{2}+1
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left (x \right )
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{x}+{\mathrm e}^{-x}
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| \[
{} i^{\prime \prime }+2 i^{\prime }+5 i = 34 \cos \left (2 t \right )
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{} y^{\prime \prime }-4 y = x \,{\mathrm e}^{2 x}
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{} x^{2} y^{\prime \prime }-6 y = 0
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{} y^{\prime \prime }+4 y = x \left (\cos \left (x \right )+1\right )
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{} r^{\prime \prime }-2 r = -{\mathrm e}^{-2 t}
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 24+24 x
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{} 4 y^{\prime \prime }-4 y^{\prime }+y = \ln \left (x \right )
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{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
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{} y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+\left (\sin \left (x \right )+1\right ) y = 0
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{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+3\right ) y = 0
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
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| \[
{} y^{\prime \prime }+\lambda y = 0
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{} Q^{\prime \prime }+k Q = e \left (t \right )
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| \[
{} y^{\prime \prime } = f \left (x \right )
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{} y^{\prime \prime }+y = f \left (x \right )
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{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime } = 4
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{} y^{\prime \prime }+9 y = 20 \,{\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 12 t
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{} y^{\prime \prime }+8 y^{\prime }+25 y = 100
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{} y^{\prime \prime }+y = 0
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{} t y^{\prime \prime }-t y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+y = 3 \delta \left (t -\pi \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 6 \delta \left (t -2\right )
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
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{} y^{\prime \prime }-4 y = 0
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{} y^{\prime \prime }+7 y^{\prime }-8 y = 0
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{} 3 x^{\prime \prime }+19 x^{\prime }-14 x = 0
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{} 8 y^{\prime \prime }-10 y^{\prime }+3 y = 0
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{} y^{\prime \prime }-9 y^{\prime }+18 y = 0
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{} y^{\prime \prime }-2 y^{\prime }-63 y = 0
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{} 20 y^{\prime \prime }-3 y^{\prime }-2 y = 0
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{} 35 y^{\prime \prime }-29 y^{\prime }+6 y = 0
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{} 3 y^{\prime \prime }+2 y^{\prime }-2 y = 0
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{} 12 x^{\prime \prime }-25 x^{\prime }+12 x = 0
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{} 38 x^{\prime \prime }+10 x^{\prime }-3 x = 0
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{} 2 y^{\prime \prime }-15 y^{\prime }+27 y = 0
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{} y^{\prime \prime }-3 y = 0
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{} y^{\prime \prime }-8 y = 0
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{} 4 y^{\prime \prime }-7 y = 0
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| \[
{} z^{\prime \prime }-3 z^{\prime }+z = 0
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{} y^{\prime \prime }+8 y^{\prime }+4 y = 0
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{} x^{\prime \prime }+36 x = 0
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{} y^{\prime \prime }+3 y = 0
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{} z^{\prime \prime }+g z = 0
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{} 9 y^{\prime \prime }+49 y = 0
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{} y^{\prime \prime }+3 y^{\prime }+3 y = 0
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{} x^{\prime \prime }+2 x^{\prime }+4 x = 0
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{} z^{\prime \prime }-7 z^{\prime }-13 z = 0
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{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
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{} y^{\prime \prime }-5 y^{\prime }+8 y = 0
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{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
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{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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{} x^{\prime \prime }-2 x^{\prime }+x = 0
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{} z^{\prime \prime }+6 z^{\prime }+9 z = 0
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{} z^{\prime \prime }+8 z^{\prime }+16 z = 0
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{} y^{\prime \prime }-9 y = 5
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{} y^{\prime \prime }-3 y = {\mathrm e}^{x}
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