| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime } \cos \left (x \right ) = y^{\prime }
\]
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| \[
{} y^{\prime \prime }-x {y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime }-x {y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0
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| \[
{} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0
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| \[
{} 2 y^{\prime \prime } = \sin \left (2 y\right )
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{} 2 y^{\prime \prime } = \sin \left (2 y\right )
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| \[
{} -x^{2} y^{\prime }+x^{3} y^{\prime \prime } = -x^{2}+3
\]
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = {\mathrm e}^{x} {y^{\prime }}^{2}
\]
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| \[
{} 2 y^{\prime \prime } = {y^{\prime }}^{3} \sin \left (2 x \right )
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| \[
{} {y^{\prime }}^{2}+x^{2} y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-\cos \left (y\right ) y y^{\prime }\right )
\]
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| \[
{} \left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
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{} \left (1+{y^{\prime }}^{2}+y y^{\prime \prime }\right )^{2} = \left (1+{y^{\prime }}^{2}\right )^{3}
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| \[
{} x^{2} y^{\prime \prime } = y^{\prime } \left (2 x -y^{\prime }\right )
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| \[
{} x^{2} y^{\prime \prime } = \left (3 x -2 y^{\prime }\right ) y^{\prime }
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| \[
{} x y^{\prime \prime } = y^{\prime } \left (2-3 x y^{\prime }\right )
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| \[
{} x^{4} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+x^{3}\right )
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| \[
{} y^{\prime \prime } = 2 x +\left (x^{2}-y^{\prime }\right )^{2}
\]
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| \[
{} {y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }+x^{2} = 0
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| \[
{} y^{\prime }-x y^{\prime \prime }+{y^{\prime \prime }}^{2} = 0
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| \[
{} {y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right )
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| \[
{} 3 y y^{\prime } y^{\prime \prime } = -1+{y^{\prime }}^{3}
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| \[
{} 4 y {y^{\prime }}^{2} y^{\prime \prime } = 3+{y^{\prime }}^{4}
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime } = 2 t +1
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| \[
{} y^{\prime \prime } = 6 \sin \left (3 t \right )
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| \[
{} y^{\prime \prime } = 6 \sin \left (3 t \right )
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime }+25 y = 0
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| \[
{} y^{\prime \prime }+a^{2} y = 0
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| \[
{} y^{\prime \prime }+8 y^{\prime }+16 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 4 \,{\mathrm e}^{2 t}
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{-2 t}
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| \[
{} y^{\prime \prime }+4 y = 8
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 9 \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 12 \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }-4 y^{\prime }-5 y = 150 t
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 4 \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 4
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{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{t}
\]
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 4 \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 50 \sin \left (t \right )
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{} y^{\prime \prime }+4 y = \sin \left (3 t \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 2 \cos \left (t \right )+\sin \left (t \right )
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{} y^{\prime \prime }+y = 4 \sin \left (t \right )
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{} y^{\prime \prime }+9 y = 36 t \sin \left (3 t \right )
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| \[
{} y^{\prime \prime }-3 y = 4 t^{2} \cos \left (t \right )
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| \[
{} y^{\prime \prime }+4 y = 32 t \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }-y y^{\prime } = 6
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| \[
{} y^{\prime \prime }-3 y^{\prime } = {\mathrm e}^{t}
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| \[
{} y^{\prime \prime }+\sin \left (y\right ) = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+3 y = {\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }-7 y^{\prime }+10 y = 0
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{} y^{\prime \prime }+8 y = t
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| \[
{} y^{\prime \prime }+2 = \cos \left (t \right )
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{} 2 y^{\prime \prime }-12 y^{\prime }+18 y = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-12 y = 0
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{} y^{\prime \prime }+10 y^{\prime }+24 y = 0
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{} y^{\prime \prime }-4 y^{\prime }-12 y = 0
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{} y^{\prime \prime }+8 y^{\prime }+16 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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{} 2 y^{\prime \prime }-12 y^{\prime }+18 y = 0
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{} y^{\prime \prime }+13 y^{\prime }+36 y = 0
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{} y^{\prime \prime }+8 y^{\prime }+25 y = 0
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{} y^{\prime \prime }+10 y^{\prime }+25 y = 0
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{} y^{\prime \prime }-4 y^{\prime }-21 y = 0
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{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
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{} y^{\prime \prime }-10 y^{\prime }+25 y = 0
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{} y^{\prime \prime }+4 y^{\prime }+13 y = 0
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{} y^{\prime \prime }+3 y^{\prime }-4 y = {\mathrm e}^{2 t}
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 7 \,{\mathrm e}^{2 t}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{t}
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-t}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 4
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{} y^{\prime \prime }+4 y^{\prime }+5 y = {\mathrm e}^{-3 t}
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{} y^{\prime \prime }+4 y = 1+{\mathrm e}^{t}
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| \[
{} y^{\prime \prime }-y = t^{2}
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{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{t}
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{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{2 t}
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{} y^{\prime \prime }+y = 2 \sin \left (t \right )
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 25 t \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 25 t \,{\mathrm e}^{-3 t}
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{} y^{\prime \prime }+6 y^{\prime }+13 y = {\mathrm e}^{-3 t} \cos \left (2 t \right )
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{} y^{\prime \prime }-8 y^{\prime }+25 y = 104 \sin \left (3 t \right )
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{} y^{\prime \prime }-5 y^{\prime }-6 y = {\mathrm e}^{3 t}
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 8 \,{\mathrm e}^{-t}
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{} y^{\prime \prime }+y = 10 \,{\mathrm e}^{2 t}
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| \[
{} y^{\prime \prime }-4 y = 2-8 t
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| \[
{} y^{\prime \prime }-4 y = {\mathrm e}^{-6 t}
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| \[
{} y^{\prime \prime }+2 y^{\prime }-15 y = 16 \,{\mathrm e}^{t}
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{} y^{\prime \prime }+5 y^{\prime }+6 y = {\mathrm e}^{-2 t}
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 4
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