| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+\alpha y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+\alpha ^{2} y = 1
\]
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| \[
{} y^{\prime \prime }+y = 1
\]
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| \[
{} y^{\prime \prime }+\lambda ^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+\lambda ^{2} y = 0
\]
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }-\lambda ^{4} y = 0
\]
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| \[
{} y^{\prime \prime }+4 y = \cos \left (x \right )^{2}
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = \pi ^{2}-x^{2}
\]
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| \[
{} y^{\prime \prime }-4 y = \cos \left (\pi x \right )
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = \arcsin \left (\sin \left (x \right )\right )
\]
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| \[
{} y^{\prime \prime }+9 y = \sin \left (x \right )^{3}
\]
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| \[
{} x^{\prime \prime } = 0
\]
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| \[
{} x^{\prime \prime } = 1
\]
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| \[
{} x^{\prime \prime } = \cos \left (t \right )
\]
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| \[
{} x^{\prime \prime }+x^{\prime } = 0
\]
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| \[
{} x^{\prime \prime }+x^{\prime } = 0
\]
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| \[
{} x^{\prime \prime }-x^{\prime } = 1
\]
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| \[
{} x^{\prime \prime }+x = t
\]
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| \[
{} x^{\prime \prime }+6 x^{\prime } = 12 t +2
\]
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| \[
{} x^{\prime \prime }-2 x^{\prime }+2 x = 2
\]
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| \[
{} x^{\prime \prime }+4 x^{\prime }+4 x = 4
\]
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| \[
{} 2 x^{\prime \prime }-2 x^{\prime } = \left (t +1\right ) {\mathrm e}^{t}
\]
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| \[
{} x^{\prime \prime }+x = 2 \cos \left (t \right )
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+9 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+16 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} a y^{\prime \prime }+b y^{\prime }+c y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} 9 y^{\prime \prime }+6 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+6 y = 0
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 0
\]
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| \[
{} 2 y^{\prime \prime }-3 y^{\prime }+y = 0
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| \[
{} 6 y^{\prime \prime }-y^{\prime }-y = 0
\]
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| \[
{} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }-8 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+5 y^{\prime } = 0
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| \[
{} 4 y^{\prime \prime }-9 y = 0
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| \[
{} 25 y^{\prime \prime }-20 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+16 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+\frac {5 y}{4} = 0
\]
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| \[
{} y^{\prime \prime }-9 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} 9 y^{\prime \prime }-24 y^{\prime }+16 y = 0
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| \[
{} 4 y^{\prime \prime }+9 y = 0
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| \[
{} 4 y^{\prime \prime }+9 y^{\prime }-9 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+\frac {25 y}{4} = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }+16 y = 0
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| \[
{} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 6 y^{\prime \prime }-5 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime } = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
\]
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| \[
{} 2 y^{\prime \prime }+y^{\prime }-4 y = 0
\]
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| \[
{} y^{\prime \prime }+8 y^{\prime }-9 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
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| \[
{} 4 y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }+2 y = 0
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{4}+2 y = 0
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| \[
{} m y^{\prime \prime }+k y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 3 \,{\mathrm e}^{2 t}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (2 t \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = -3 t \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime } = 3+4 \sin \left (2 t \right )
\]
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| \[
{} y^{\prime \prime }+9 y = t^{2} {\mathrm e}^{3 t}+6
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 2 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 2 \,{\mathrm e}^{t}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 2 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 3 \,{\mathrm e}^{-t}
\]
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 16 \,{\mathrm e}^{\frac {t}{2}}
\]
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = t^{2}+3 \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }+y = 3 \sin \left (2 t \right )+t \cos \left (2 t \right )
\]
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| \[
{} u^{\prime \prime }+w_{0}^{2} u = \cos \left (w t \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+4 y = 2 \sinh \left (t \right )
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = \cosh \left (2 t \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 2 t
\]
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| \[
{} y^{\prime \prime }+4 y = t^{2}+3 \,{\mathrm e}^{t}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = t \,{\mathrm e}^{t}+4
\]
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