| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime \prime \prime }-16 y = 32 \operatorname {Heaviside}\left (t \right )-32 \operatorname {Heaviside}\left (t -\pi \right )
\]
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{} y^{\prime \prime }+2 y^{\prime }+y = 1
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{} y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{t}
\]
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{} y^{\prime \prime }-3 y^{\prime }-7 y = 4
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 5
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{} 3 y^{\prime \prime }+5 y^{\prime }-2 y = 3 t^{2}
\]
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| \[
{} y^{\prime \prime \prime } = 2 y^{\prime \prime }-4 y^{\prime }+\sin \left (t \right )
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = x^{{3}/{2}} {\mathrm e}^{x}
\]
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{} y^{\prime \prime }+4 y = 2 \sec \left (2 x \right )
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{} y^{\prime \prime }+y = f \left (x \right )
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{} y^{\prime \prime }+\alpha ^{2} y = 0
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{} y^{\prime \prime }-\alpha ^{2} y = 0
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| \[
{} y^{\prime \prime }+\beta y^{\prime }+\gamma y = 0
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| \[
{} y^{\prime \prime }+9 y = 18 t
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{} y^{\prime \prime }-4 y^{\prime }+3 y = f \left (t \right )
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = \left \{\begin {array}{cc} t & 0\le t \le 3 \\ t +2 & 3<t \end {array}\right .
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| \[
{} c v^{\prime \prime }+\frac {v^{\prime }}{r}+\frac {v}{L} = \delta \left (t -1\right )-\delta \left (t \right )
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{} y^{\prime \prime }-2 k y^{\prime }+k^{2} y = {\mathrm e}^{x}
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| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime } = a^{2} y
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{} y^{\prime \prime } = 9 y
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{} y^{\prime \prime }+y = 0
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| \[
{} -y+y^{\prime \prime } = 0
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{} y^{\prime \prime }+12 y = 7 y^{\prime }
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+2 y^{\prime }+10 y = 0
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{} y^{\prime \prime }+3 y^{\prime }-2 y = 0
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{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
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{} y^{\prime \prime }+y^{\prime }+y = 0
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{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
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| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} -a^{3} y+3 a^{2} y^{\prime }-3 a y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\left (5\right )}-4 y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0
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{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
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{} y^{\prime \prime \prime \prime }+y = 0
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{} y^{\prime \prime \prime \prime }-a^{4} y = 0
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{} 12 y-7 y^{\prime }+y^{\prime \prime } = x
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{} s^{\prime \prime }-a^{2} s = t +1
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{} y^{\prime \prime }+y^{\prime }-2 y = 8 \sin \left (2 x \right )
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{} -y+y^{\prime \prime } = 5 x +2
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{} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = {\mathrm e}^{x}
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{} y^{\prime \prime }+6 y^{\prime }+5 y = {\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }+9 y = 6 \,{\mathrm e}^{3 x}
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{} y^{\prime \prime }-3 y^{\prime } = 2-6 x
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{} y^{\prime \prime }-2 y^{\prime }+3 y = {\mathrm e}^{-x} \cos \left (x \right )
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{} y^{\prime \prime }+4 y = 2 \sin \left (2 x \right )
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 2 x +3
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{} y^{\prime \prime \prime \prime }-a^{4} y = 5 a^{4} {\mathrm e}^{a x} \sin \left (a x \right )
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| \[
{} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 8 \cos \left (a x \right )
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| \[
{} y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0
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{} y^{\prime \prime }+n^{2} y = h \sin \left (r x \right )
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{} y^{\prime \prime }-7 y^{\prime }+6 y = \sin \left (x \right )
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }+y = \frac {1}{\cos \left (2 x \right )^{{3}/{2}}}
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }-4 y = {\mathrm e}^{2 x} \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime } = 0
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{} y^{\prime \prime }-y^{\prime }-6 y = 0
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{} -y+y^{\prime \prime } = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = 0
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{} 3 y^{\prime \prime }-2 y^{\prime }+4 y = x
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{} -y+y^{\prime \prime } = 0
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{} y^{\prime \prime }+y = 0
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{} -y+y^{\prime \prime } = 0
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{} y^{\prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime }-4 y = 31
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{} y^{\prime \prime }+9 y = 27 x +18
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{} 4 y^{\prime \prime }+4 y^{\prime }-3 y = 0
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{} -4 y+6 y^{\prime }-4 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }-16 y = 0
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{} y^{\prime \prime \prime \prime }+16 y = 0
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{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+8 y^{\prime \prime }-8 y^{\prime }+4 y = 0
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{} y^{\prime \prime \prime \prime }-8 y^{\prime } = 0
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{} 36 y^{\prime \prime \prime \prime }-12 y^{\prime \prime \prime }-11 y^{\prime \prime }+2 y^{\prime }+y = 0
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{} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0
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{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+35 y^{\prime \prime }+16 y^{\prime }-52 y = 0
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{} y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y = 0
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{} y^{\prime \prime }+\alpha y = 0
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{} y^{\prime \prime \prime }+\left (-3-4 i\right ) y^{\prime \prime }+\left (-4+12 i\right ) y^{\prime }+12 y = 0
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{} y^{\prime \prime \prime \prime }+\left (-3-i\right ) y^{\prime \prime \prime }+\left (4+3 i\right ) y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 2 \,{\mathrm e}^{x}-4 \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 24 x^{2}-6 x +14+32 \cos \left (2 x \right )
\]
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{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 3+\cos \left (2 x \right )
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{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 6 x -20-120 x^{2} {\mathrm e}^{x}
\]
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+21 y^{\prime }-26 y = 36 \,{\mathrm e}^{2 x} \sin \left (3 x \right )
\]
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = \left (2 x^{2}+4 x +8\right ) \cos \left (x \right )+\left (6 x^{2}+8 x +12\right ) \sin \left (x \right )
\]
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{} y^{\left (6\right )}-12 y^{\left (5\right )}+63 y^{\prime \prime \prime \prime }-18 y^{\prime \prime \prime }+315 y^{\prime \prime }-300 y^{\prime }+125 y = {\mathrm e}^{x} \left (48 \cos \left (x \right )+96 \sin \left (x \right )\right )
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 2 \,{\mathrm e}^{x}
\]
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| \[
{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 3 x +4
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{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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{} y^{\prime \prime }-9 y = 2 \sin \left (3 x \right )
\]
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