| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+4 y^{\prime }+20 y = {\mathrm e}^{-4 t}
\]
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 5
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 2
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| \[
{} y^{\prime \prime }+2 y^{\prime }+10 y = 10
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+6 y = -8
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{} y^{\prime \prime }+9 y = {\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+4 y = 2 \,{\mathrm e}^{-2 t}
\]
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| \[
{} y^{\prime \prime }+2 y = -3
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{} y^{\prime \prime }+4 y = {\mathrm e}^{t}
\]
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| \[
{} y^{\prime \prime }+9 y = 6
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{} y^{\prime \prime }+2 y = -{\mathrm e}^{t}
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| \[
{} y^{\prime \prime }+4 y = -3 t^{2}+2 t +3
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| \[
{} y^{\prime \prime }+2 y^{\prime } = 3 t +2
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| \[
{} y^{\prime \prime }+4 y^{\prime } = 3 t +2
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = t^{2}
\]
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| \[
{} y^{\prime \prime }+4 y = t -\frac {1}{20} t^{2}
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 4+{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{-t}-4
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+8 y = 2 t +{\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }+6 y^{\prime }+8 y = 2 t +{\mathrm e}^{t}
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| \[
{} y^{\prime \prime }+4 y = t +{\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }+4 y = 6+t^{2}+{\mathrm e}^{t}
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = \cos \left (t \right )
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 5 \cos \left (t \right )
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{} y^{\prime \prime }+3 y^{\prime }+2 y = \sin \left (t \right )
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 2 \sin \left (t \right )
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{} y^{\prime \prime }+6 y^{\prime }+8 y = \cos \left (t \right )
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| \[
{} y^{\prime \prime }+6 y^{\prime }+8 y = -4 \cos \left (3 t \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+13 y = 3 \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+20 y = -\cos \left (5 t \right )
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{} y^{\prime \prime }+4 y^{\prime }+20 y = -3 \sin \left (2 t \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = \cos \left (3 t \right )
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| \[
{} y^{\prime \prime }+6 y^{\prime }+8 y = \cos \left (t \right )
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| \[
{} y^{\prime \prime }+6 y^{\prime }+8 y = 2 \cos \left (3 t \right )
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{} y^{\prime \prime }+6 y^{\prime }+20 y = -3 \sin \left (2 t \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 2 \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }+3 y^{\prime }+y = \cos \left (3 t \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+20 y = 3+2 \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+20 y = {\mathrm e}^{-t} \cos \left (t \right )
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{} y^{\prime \prime }+9 y = \cos \left (t \right )
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{} y^{\prime \prime }+9 y = 5 \sin \left (2 t \right )
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| \[
{} y^{\prime \prime }+4 y = -\cos \left (\frac {t}{2}\right )
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| \[
{} y^{\prime \prime }+4 y = 3 \cos \left (2 t \right )
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{} y^{\prime \prime }+9 y = 2 \cos \left (3 t \right )
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| \[
{} y^{\prime \prime }+4 y = 8
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| \[
{} y^{\prime \prime }-4 y = {\mathrm e}^{2 t}
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| \[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 2 \,{\mathrm e}^{t}
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| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 13 \operatorname {Heaviside}\left (t -4\right )
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| \[
{} y^{\prime \prime }+4 y = \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }+3 y = \operatorname {Heaviside}\left (t -4\right ) \cos \left (5 t -20\right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+9 y = 20 \operatorname {Heaviside}\left (t -2\right ) \sin \left (t -2\right )
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| \[
{} y^{\prime \prime }+3 y = \left \{\begin {array}{cc} t & 0\le t <1 \\ 1 & 1\le t \end {array}\right .
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{} y^{\prime \prime }+3 y = 5 \delta \left (t -2\right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = \delta \left (t -3\right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = -2 \delta \left (t -2\right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+3 y = \delta \left (t -1\right )-3 \delta \left (t -4\right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = {\mathrm e}^{-2 t} \sin \left (4 t \right )
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| \[
{} y^{\prime \prime }+y^{\prime }+5 y = \operatorname {Heaviside}\left (t -2\right ) \sin \left (4 t -8\right )
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| \[
{} y^{\prime \prime }+y^{\prime }+8 y = \left (1-\operatorname {Heaviside}\left (t -4\right )\right ) \cos \left (t -4\right )
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| \[
{} y^{\prime \prime }+y^{\prime }+3 y = \left (1-\operatorname {Heaviside}\left (t -2\right )\right ) {\mathrm e}^{-\frac {t}{10}+\frac {1}{5}} \sin \left (t -2\right )
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| \[
{} y^{\prime \prime }+16 y = 0
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{} y^{\prime \prime }+4 y = \sin \left (2 t \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+16 y = t
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| \[
{} y^{\prime } = 3-\sin \left (x \right )
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| \[
{} y^{\prime } = 3-\sin \left (y\right )
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| \[
{} y^{\prime }+4 y = {\mathrm e}^{2 x}
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| \[
{} x y^{\prime } = \arcsin \left (x^{2}\right )
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| \[
{} y y^{\prime } = 2 x
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| \[
{} y^{\prime \prime } = \frac {1+x}{x -1}
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| \[
{} x^{2} y^{\prime \prime } = 1
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| \[
{} y^{2} y^{\prime \prime } = 8 x^{2}
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| \[
{} y^{\prime \prime }+3 y^{\prime }+8 y = {\mathrm e}^{-x^{2}}
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime } = 0
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| \[
{} y^{\prime } = 4 x^{3}
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| \[
{} y^{\prime } = 20 \,{\mathrm e}^{-4 x}
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| \[
{} x y^{\prime }+\sqrt {x} = 2
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| \[
{} \sqrt {x +4}\, y^{\prime } = 1
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| \[
{} y^{\prime } = x \cos \left (x^{2}\right )
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| \[
{} y^{\prime } = x \cos \left (x \right )
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| \[
{} x = \left (x^{2}-9\right ) y^{\prime }
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| \[
{} 1 = \left (x^{2}-9\right ) y^{\prime }
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| \[
{} 1 = x^{2}-9 y^{\prime }
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{} y^{\prime \prime } = \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }-3 = x
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| \[
{} y^{\prime \prime \prime \prime } = 1
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| \[
{} y^{\prime } = 40 x \,{\mathrm e}^{2 x}
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| \[
{} \left (x +6\right )^{{1}/{3}} y^{\prime } = 1
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| \[
{} y^{\prime } = \frac {x -1}{1+x}
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| \[
{} x y^{\prime }+2 = \sqrt {x}
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| \[
{} \cos \left (x \right ) y^{\prime }-\sin \left (x \right ) = 0
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| \[
{} \left (x^{2}+1\right ) y^{\prime } = 1
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| \[
{} x y^{\prime \prime }+2 = \sqrt {x}
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{} y^{\prime } = \sin \left (\frac {x}{2}\right )
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{} y^{\prime } = \sin \left (\frac {x}{2}\right )
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{} y^{\prime } = \sin \left (\frac {x}{2}\right )
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| \[
{} y^{\prime } = 3 \sqrt {x +3}
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| \[
{} y^{\prime } = 3 \sqrt {x +3}
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| \[
{} y^{\prime } = 3 \sqrt {x +3}
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