| # | ODE | Mathematica | Maple | Sympy |
| \[
{} -y+y^{\prime \prime } = x^{2}-x +1
\]
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| \[
{} 4 y+4 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = \cos \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{2 x} \left (1+x \right )
\]
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{} y^{\prime \prime \prime \prime }-y = \cos \left (2 x \right )
\]
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| \[
{} y^{\left (5\right )}+y^{\prime \prime } = x^{5}-3 x^{2}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-12 y = x^{2} {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+2 b y^{\prime }+y = k
\]
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| \[
{} m y^{\prime \prime }+a y^{\prime }+k y = 0
\]
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| \[
{} y^{\prime \prime }+\omega ^{2} y = 0
\]
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| \[
{} \theta ^{\prime \prime }+4 \theta = 15 \cos \left (3 t \right )
\]
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| \[
{} y^{\prime \prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+8 y = \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = t
\]
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| \[
{} y^{\prime \prime }+y = \left \{\begin {array}{cc} 0 & t <1 \\ 2 & 1\le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \left \{\begin {array}{cc} 0 & t <6 \\ 1 & 6\le t \end {array}\right .
\]
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{} y^{\prime \prime }+4 y = \left \{\begin {array}{cc} 4 t & 0\le t \le 1 \\ 4 & 1<t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = \left \{\begin {array}{cc} 1 & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime \prime }+y^{\prime } = {\mathrm e}^{t}
\]
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| \[
{} y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+2 y = 10 \cos \left (t \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
\]
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| \[
{} {y^{\prime \prime }}^{2} x^{2} \left (x^{2}-1\right )-1 = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime } = 6 y+5 \,{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-12 y^{\prime }+35 y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime } = 0
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| \[
{} 9 y^{\prime \prime }-30 y^{\prime }+25 y = 0
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| \[
{} 3 y^{\prime \prime }-4 y^{\prime }+2 y = 0
\]
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+7 y^{\prime \prime }+6 y^{\prime }-8 y = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+3 y^{\prime }-6 y = 0
\]
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{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+5 y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+42 y^{\prime \prime }-104 y^{\prime }+169 y = 0
\]
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| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 2 x^{2}-3 x -17
\]
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{} y^{\prime \prime }-2 y^{\prime }-3 y+8 \,{\mathrm e}^{-x}+3 x = 0
\]
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{} y^{\prime \prime }+4 y = 2 \tan \left (x \right )
\]
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| \[
{} y^{\prime \prime }-y^{\prime } = 6 x^{5} {\mathrm e}^{x}
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = x \,{\mathrm e}^{2 x}
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{} y^{\prime \prime }+4 y = 4 \cos \left (2 x \right )
\]
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = x^{3}+{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+2 a y^{\prime }+a^{2} y = x^{2} {\mathrm e}^{-a x}
\]
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{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime } = x \,{\mathrm e}^{x}
\]
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 2 \,{\mathrm e}^{-x} \sin \left (x \right )
\]
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| \[
{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{-x} \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime } = 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 }+n^{2} y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 2 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+9 y = 5 \cos \left (2 t \right )
\]
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| \[
{} y^{\prime \prime }+y = \sin \left (2 t \right )
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| \[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime \prime \prime }-y = 0
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| \[
{} y^{\prime \prime }+4 y = t \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }+4 y = x \sin \left (x \right )
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{} y^{\prime \prime }+3 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y+8 \,{\mathrm e}^{-x}+3 x = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
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| \[
{} k^{2} y^{\prime \prime }+2 k y^{\prime }+\left (k^{2}+1\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{-2 x}}{x^{2}}
\]
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| \[
{} y^{\prime \prime }+y^{\prime } = \sin \left (2 x \right )
\]
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| \[
{} x^{\prime \prime }+2 x^{\prime }+2 x = 0
\]
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{} y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime } = 0
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{} y^{\prime \prime }+4 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime } = 3 x +x \,{\mathrm e}^{x}
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = \frac {{\mathrm e}^{x}}{x^{3}}
\]
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| \[
{} y^{\prime \prime }+4 y = 2 t -8
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+y = 2 \cos \left (t \right )
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-6 y^{\prime } = 6
\]
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| \[
{} b^{\left (7\right )} = 3 p
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x
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{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x}
\]
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| \[
{} -y+y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }-y = x
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-7 y^{\prime } = 0
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| \[
{} y^{\prime \prime }-5 y = 0
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime } = 0
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| \[
{} -y+y^{\prime \prime } = 0
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{} y^{\prime \prime }-y^{\prime }-30 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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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
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