| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{\prime \prime }+x = \left \{\begin {array}{cc} t & 0\le t <1 \\ 2-t & 1\le t <2 \\ 0 & 2\le t \end {array}\right .
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{} x^{\prime \prime }+4 x^{\prime }+13 x = \left \{\begin {array}{cc} 1 & 0\le t <\pi \\ 1-t & \pi \le t <2 \pi \\ 0 & 2 \pi \le t \end {array}\right .
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{} x^{\prime \prime }+x = \cos \left (t \right )
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{} x^{\prime \prime }+x = \cos \left (t \right )
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{} x^{\prime \prime }+x = \cos \left (\frac {9 t}{10}\right )
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| \[
{} x^{\prime \prime }+x = \cos \left (\frac {7 t}{10}\right )
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| \[
{} x^{\prime \prime }+\frac {x^{\prime }}{10}+x = 3 \cos \left (2 t \right )
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{} x^{\prime \prime }-3 x^{\prime }+4 x = 0
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{} x^{\prime \prime }+6 x^{\prime }+9 x = 0
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{} x^{\prime \prime }+16 x = t \sin \left (t \right )
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{} x^{\prime \prime }+x = {\mathrm e}^{t}
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{} y^{\prime \prime }+y = 2 \cos \left (x \right )+2 \sin \left (x \right )
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{} y^{\prime \prime }+y = 0
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 2
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{} y^{\prime \prime \prime \prime } = x
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{} y^{\prime \prime \prime } = x +\cos \left (x \right )
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{} y^{\prime \prime } = x \,{\mathrm e}^{x}
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{} y^{\prime \prime } = 2 x \ln \left (x \right )
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{} y^{\prime \prime }+y^{\prime }+2 = 0
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| \[
{} -y+y^{\prime \prime } = 0
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{} 3 y^{\prime \prime }-2 y^{\prime }-8 y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
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{} y+2 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
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{} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 0
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{} y^{\prime \prime }-2 y^{\prime }-2 y = 0
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{} y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime } = 0
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{} 4 y^{\prime \prime }-8 y^{\prime }+5 y = 0
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{} y^{\prime \prime \prime }-8 y = 0
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+10 y^{\prime \prime }+12 y^{\prime }+5 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 }+3 y = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+4 y^{\prime \prime }-2 y^{\prime }-5 y = 0
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{} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y = 0
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{} y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime } = 0
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{} y^{\prime \prime \prime \prime }-y = 0
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{} y^{\left (5\right )} = 0
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{} y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0
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{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0
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{} y^{\prime \prime \prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+3 y^{\prime } = 3
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{} y^{\prime \prime }-7 y^{\prime } = \left (x -1\right )^{2}
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{} y^{\prime \prime }+3 y^{\prime } = {\mathrm e}^{x}
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{} y^{\prime \prime }+7 y^{\prime } = {\mathrm e}^{-7 x}
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{} y^{\prime \prime }-8 y^{\prime }+16 y = \left (1-x \right ) {\mathrm e}^{4 x}
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{} y^{\prime \prime }-10 y^{\prime }+25 y = {\mathrm e}^{5 x}
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{} 4 y^{\prime \prime }-3 y^{\prime } = x \,{\mathrm e}^{\frac {3 x}{4}}
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{} y^{\prime \prime }-4 y^{\prime } = x \,{\mathrm e}^{4 x}
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{} y^{\prime \prime }+25 y = \cos \left (5 x \right )
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{} y^{\prime \prime }+y = \sin \left (x \right )-\cos \left (x \right )
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{} y^{\prime \prime }+16 y = \sin \left (4 x +\alpha \right )
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{} y^{\prime \prime }+4 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (\sin \left (2 x \right )+\cos \left (2 x \right )\right )
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{} y^{\prime \prime }-4 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (\sin \left (2 x \right )-\cos \left (2 x \right )\right )
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{} y^{\prime \prime }+6 y^{\prime }+13 y = {\mathrm e}^{-3 x} \cos \left (2 x \right )
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{} y^{\prime \prime }+k^{2} y = k \sin \left (k x +\alpha \right )
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{} y^{\prime \prime }+k^{2} y = k
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{} y^{\prime \prime \prime }+y = x
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{} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 1
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{} y^{\prime }+y^{\prime \prime \prime } = 2
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{} y^{\prime \prime \prime }+y^{\prime \prime } = 3
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{} y^{\prime \prime \prime \prime }-y = 1
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{} y^{\prime \prime \prime \prime }-y^{\prime } = 2
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{} y^{\prime \prime \prime \prime }-y^{\prime \prime } = 3
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{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime } = 4
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+4 y^{\prime \prime } = 1
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{4 x}
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{-x}
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = x \,{\mathrm e}^{-x}
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \sin \left (2 x \right )
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \cos \left (x \right )
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \sin \left (2 x \right ) x
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{} y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = a \sin \left (n x +\alpha \right )
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{} y^{\prime \prime \prime \prime }-2 n^{2} y^{\prime \prime }+n^{4} y = \cos \left (n x +\alpha \right )
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = \sin \left (x \right )
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{} y-4 y^{\prime }+6 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = {\mathrm e}^{x}
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{} y-4 y^{\prime }+6 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = x \,{\mathrm e}^{x}
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{} y+2 y^{\prime }+y^{\prime \prime } = -2
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{} y^{\prime \prime }+2 y^{\prime } = -2
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{} y^{\prime \prime }+9 y = 9
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{} y^{\prime \prime \prime }+y^{\prime \prime } = 1
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{} 5 y^{\prime \prime \prime }-7 y^{\prime \prime } = 3
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime } = -6
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{} 3 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 2
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = 1
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = x^{2}
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{} y^{\prime \prime }+8 y^{\prime } = 8 x
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{} y^{\prime \prime }-2 k y^{\prime }+k^{2} y = {\mathrm e}^{x}
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 8 \,{\mathrm e}^{-2 x}
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{} y^{\prime \prime }+4 y^{\prime }+3 y = 9 \,{\mathrm e}^{-3 x}
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{} 7 y^{\prime \prime }-y^{\prime } = 14 x
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{} y^{\prime \prime }+3 y^{\prime } = 3 x \,{\mathrm e}^{-3 x}
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{} y^{\prime \prime }+5 y^{\prime }+6 y = 10 \left (1-x \right ) {\mathrm e}^{-2 x}
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{} y^{\prime \prime }+2 y^{\prime }+2 y = 1+x
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{} y^{\prime \prime }+y^{\prime }+y = \left (x^{2}+x \right ) {\mathrm e}^{x}
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{} y^{\prime \prime }+4 y^{\prime }-2 y = 8 \sin \left (2 x \right )
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{} y^{\prime \prime }+y = 4 x \cos \left (x \right )
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{} y^{\prime \prime }-2 m y^{\prime }+m^{2} y = \sin \left (n x \right )
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{} y^{\prime \prime }+2 y^{\prime }+5 y = \sin \left (2 x \right ) {\mathrm e}^{-x}
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{} y^{\prime \prime }+a^{2} y = 2 \cos \left (m x \right )+3 \sin \left (m x \right )
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