| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{\prime \prime }+x^{\prime }-2 x = 0
\]
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{} x^{\prime \prime }-2 x^{\prime }+5 x = 0
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| \[
{} x^{\prime \prime }-2 x^{\prime }+5 x = 0
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| \[
{} x^{\prime \prime }+2 x^{\prime } = 0
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| \[
{} x^{\prime \prime }-4 x = t
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| \[
{} x^{\prime \prime }-4 x = 4 t^{2}
\]
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| \[
{} x^{\prime \prime }+x = t^{2}-2 t
\]
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| \[
{} x^{\prime \prime }+x = 3 t^{2}+t
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| \[
{} x^{\prime \prime }-x = {\mathrm e}^{-3 t}
\]
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| \[
{} x^{\prime \prime }-x = 3 \,{\mathrm e}^{2 t}
\]
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| \[
{} x^{\prime \prime }-x = t \,{\mathrm e}^{2 t}
\]
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| \[
{} x^{\prime \prime }-3 x^{\prime }-x = t^{2}+t
\]
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| \[
{} x^{\prime \prime }-4 x^{\prime }+13 x = 20 \,{\mathrm e}^{t}
\]
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| \[
{} x^{\prime \prime }-x^{\prime }-2 x = 2 t +{\mathrm e}^{t}
\]
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| \[
{} x^{\prime \prime }+4 x = \cos \left (t \right )
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| \[
{} x^{\prime \prime }+x = \sin \left (2 t \right )-\cos \left (3 t \right )
\]
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| \[
{} x^{\prime \prime }+2 x^{\prime }+2 x = \cos \left (2 t \right )
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| \[
{} x^{\prime \prime }+x = t \sin \left (2 t \right )
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| \[
{} x^{\prime \prime }-x^{\prime } = t
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| \[
{} x^{\prime \prime }-x = {\mathrm e}^{k t}
\]
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| \[
{} x^{\prime \prime }-x^{\prime }-2 x = 3 \,{\mathrm e}^{-t}
\]
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| \[
{} x^{\prime \prime }-3 x^{\prime }+2 x = 3 t \,{\mathrm e}^{t}
\]
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| \[
{} x^{\prime \prime }-4 x^{\prime }+3 x = 2 \,{\mathrm e}^{t}-5 \,{\mathrm e}^{2 t}
\]
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| \[
{} x^{\prime \prime }+2 x = \cos \left (\sqrt {2}\, t \right )
\]
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| \[
{} x^{\prime \prime }+4 x = \sin \left (2 t \right )
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| \[
{} x^{\prime \prime }+x = 2 \sin \left (t \right )+2 \cos \left (t \right )
\]
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| \[
{} x^{\prime \prime }+9 x = \sin \left (t \right )+\sin \left (3 t \right )
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| \[
{} x^{\prime \prime }-x = t
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| \[
{} x^{\prime \prime }+4 x^{\prime }+x = k
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| \[
{} x^{\prime \prime }-2 x = 2 \,{\mathrm e}^{t}
\]
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| \[
{} x^{\prime \prime }+\frac {\left (t^{5}+1\right ) x}{t^{4}+5} = 0
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| \[
{} x^{\prime \prime }+\sqrt {t^{6}+3 t^{5}+1}\, x = 0
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| \[
{} x^{\prime \prime }+2 t^{3} x = 0
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| \[
{} x^{\prime \prime }-p \left (t \right ) x = q \left (t \right )
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| \[
{} x^{\prime \prime }+p \left (t \right ) x^{\prime }+q \left (t \right ) x = 0
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| \[
{} x^{\prime \prime }+x^{\prime }+x = 0
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| \[
{} x^{\prime \prime }-\frac {t x^{\prime }}{4}+x = 0
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| \[
{} x^{\prime \prime }-\frac {x^{\prime }}{t} = 0
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| \[
{} t^{2} x^{\prime \prime }-2 x = 0
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| \[
{} t^{2} x^{\prime \prime }+a t x^{\prime }+x = 0
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| \[
{} t^{2} x^{\prime \prime }-t x^{\prime }-3 x = 0
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime }+x = t
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| \[
{} t^{2} x^{\prime \prime }+3 t x^{\prime }-3 x = t^{2}
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| \[
{} x^{\prime \prime }-t x^{\prime }+3 x = 0
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime }+x t^{2} = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime }+\left (t^{2}-1\right ) x = 0
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime }+\left (-m^{2}+t^{2}\right ) x = 0
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| \[
{} s y^{\prime \prime }+\lambda y = 0
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime }+x t^{2} = \lambda x
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| \[
{} x^{\prime \prime }-2 x^{\prime }+x = 0
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| \[
{} x^{\prime \prime }-4 x^{\prime }+3 x = 1
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| \[
{} x^{\prime \prime }+x = g \left (t \right )
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| \[
{} x^{\prime \prime } = \delta \left (-t +a \right )
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| \[
{} x^{\prime \prime }+2 x^{\prime }-x = 0
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| \[
{} x^{\prime \prime }+2 x^{\prime }+x = 0
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| \[
{} x^{\prime \prime }+2 h x^{\prime }+k^{2} x = 0
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| \[
{} x u^{\prime \prime }-\left (x^{2} {\mathrm e}^{x}+1\right ) u^{\prime }-x^{2} {\mathrm e}^{x} u = 0
\]
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| \[
{} u^{\prime \prime }-\left (1+x \right ) u^{\prime }+\left (x -1\right ) u = 0
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| \[
{} u^{\prime \prime }+\left (\tan \left (x \right )-2 \cos \left (x \right )\right ) u^{\prime } = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{2}
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| \[
{} y^{\prime \prime }+b y^{\prime }+c y = f \left (x \right )
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| \[
{} x^{\prime \prime }-4 x = 0
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| \[
{} y^{\prime \prime }-5 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} x^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+10 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+16 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
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| \[
{} y^{\prime \prime }-\frac {6 y^{\prime }}{5}+\frac {9 y}{25} = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = \sin \left (x \right )
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| \[
{} y^{\prime \prime } = 9 x^{2}+2 x -1
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = x^{2}+2 x
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = x^{3}+3
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 2 x^{3}+5 x^{2}-7 x +2
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{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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{} y^{\prime \prime }+4 y = \sin \left (x \right )+\sin \left (2 x \right )
\]
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{} y^{\prime \prime }-4 y^{\prime }+5 y = 2 \cos \left (x \right )
\]
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (x +\frac {\pi }{4}\right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2 x^{2}+{\mathrm e}^{x}+2 x \,{\mathrm e}^{x}+4 \,{\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{-x} \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 3 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \left (x^{2}-1\right ) {\mathrm e}^{2 x}+\left (3 x +4\right ) {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+8 y = \left (10 x^{2}+21 x +9\right ) \sin \left (3 x \right )+x \cos \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2 \sin \left (x \right )
\]
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