| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x^{5}}
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }+4 y = \sin \left (2 x \right )^{2}
\]
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{} y^{\prime \prime }-y^{\prime }-2 y = 4 x^{2}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
\]
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{} y^{\prime \prime }+4 y^{\prime }+8 y = \sin \left (x \right )
\]
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{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }+y = x
\]
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{} y^{\prime \prime }+4 y = \sin \left (2 x \right )^{2}
\]
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{} y^{\prime \prime }+2 y^{\prime }+2 y = \sin \left (2 x \right )+\cos \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 t^{2}
\]
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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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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = f \left (t \right )
\]
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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 }-y = \sin \left (t \right )
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{} y^{\prime \prime }-y = {\mathrm e}^{t}
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{} y^{\prime \prime }+2 y^{\prime }-3 y = \sin \left (2 t \right )
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{} y^{\prime \prime }+y = \sin \left (t \right )
\]
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{} y^{\prime \prime }+y^{\prime }+y = \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-2 t}
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }-3 y = \operatorname {Heaviside}\left (t -4\right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 9 x
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| \[
{} y^{\prime \prime }+y = x
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| \[
{} y^{\prime \prime }+y = x
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| \[
{} y^{\prime \prime }+y = x
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{} y^{\prime \prime }-4 y^{\prime }-5 y = {\mathrm e}^{3 x}
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| \[
{} x^{\prime \prime }-3 x = \sin \left (y \right )
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 6 \,{\mathrm e}^{x}
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| \[
{} x^{\prime \prime } = t^{2}-4 t +8
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| \[
{} y^{\prime \prime } = 12 x \left (4-x \right )
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| \[
{} y^{\prime \prime } = 1-\cos \left (x \right )
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| \[
{} y^{\prime \prime } = \sqrt {2 x +1}
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| \[
{} -y+y^{\prime \prime } = 4 x
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{} y^{\prime \prime }+y = {\mathrm e}^{-x^{2}}
\]
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| \[
{} y^{\prime \prime } = 2 x
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| \[
{} i^{\prime \prime } = t^{2}+1
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| \[
{} y^{\prime \prime } = y^{\prime }+2 x
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{} y^{\prime \prime }+3 y^{\prime }+2 y = x^{3}
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = x
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{} -y+y^{\prime \prime } = {\mathrm e}^{-x}
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = x^{2}
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = x
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{} y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 1
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{} y^{\prime \prime }+y = 2 \,{\mathrm e}^{3 x}
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 4 \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }-4 y = 8 x^{2}
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{} 5 y+4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{-x}+15 x
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{} 4 i^{\prime \prime }+i = t^{2}+2 \cos \left (4 t \right )
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{} y^{\prime \prime }+16 y = 5 \sin \left (x \right )
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{} s^{\prime \prime }-3 s^{\prime }+2 s = 8 t^{2}+12 \,{\mathrm e}^{-t}
\]
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{} y^{\prime \prime }+y = 6 \cos \left (x \right )^{2}
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| \[
{} L q^{\prime \prime }+R q^{\prime }+\frac {q}{c} = E_{0} \sin \left (\omega t \right )
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 4 \sin \left (3 x \right )^{3}
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| \[
{} y^{\prime \prime }+y = \left \{\begin {array}{cc} x & 0\le x \le \pi \\ 0 & \pi <x \end {array}\right .
\]
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{} y^{\prime \prime }+2 y^{\prime }-3 y = 2 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+y = x^{2}+\sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime } = x^{2}+3 x +{\mathrm e}^{3 x}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
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{} y^{\prime \prime }+4 y = 8 \cos \left (2 x \right )-4 x
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| \[
{} i^{\prime \prime }+9 i = 12 \cos \left (3 t \right )
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{} s^{\prime \prime }+s^{\prime } = t +{\mathrm e}^{-t}
\]
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{} y^{\prime \prime }+y = x \sin \left (x \right )
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| \[
{} y^{\prime \prime }+\omega ^{2} y = A \cos \left (\lambda x \right )
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{} y^{\prime \prime }+4 y = \sin \left (x \right )^{4}
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| \[
{} y^{\prime \prime }+y = x \,{\mathrm e}^{-x}+3 \sin \left (x \right )
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{} y^{\prime \prime }-2 y^{\prime }-3 y = \sin \left (2 x \right ) x +x^{3} {\mathrm e}^{3 x}
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{} y^{\prime \prime }-2 y^{\prime }-y = x^{2} {\mathrm e}^{x}
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{} y^{\prime \prime }+y = {\mathrm e}^{-x} \cos \left (x \right )+2 x
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{} y^{\prime \prime }-4 y^{\prime }+3 y = 3 \,{\mathrm e}^{x}+2 \,{\mathrm e}^{-x}+x^{3} {\mathrm e}^{-x}
\]
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| \[
{} -y+y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
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{} y^{\prime \prime }+4 y = x^{2}+3 x \cos \left (2 x \right )
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{} y+2 y^{\prime }+y^{\prime \prime } = \sin \left (3 x \right )+x \,{\mathrm e}^{-x}
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| \[
{} q^{\prime \prime }+q = t \sin \left (t \right )+\cos \left (t \right )
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{} y^{\prime \prime }+\omega ^{2} y = t \left (\sin \left (\omega t \right )+\cos \left (\omega t \right )\right )
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-x} \left (\cos \left (2 x \right )+1\right )
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{} y^{\prime \prime }+4 y = \cos \left (x \right ) \cos \left (2 x \right ) \cos \left (3 x \right )
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| \[
{} y^{\prime \prime }+y = x^{2} \cos \left (5 x \right )
\]
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| \[
{} y^{\prime \prime }+y = \cot \left (x \right )
\]
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }+4 y = \csc \left (2 x \right )
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{} -y+y^{\prime \prime } = {\mathrm e}^{x}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 3 \,{\mathrm e}^{-2 x}+x
\]
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{} y^{\prime \prime }+y^{\prime }-2 y = \ln \left (x \right )
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{} 2 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-3 x}
\]
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{} -y+y^{\prime \prime } = x^{2} {\mathrm e}^{x}
\]
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{} -y+y^{\prime \prime } = {\mathrm e}^{-x^{2}}
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = \sqrt {x}
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{} -y+y^{\prime \prime } = 1
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{x}-{\mathrm e}^{-x}
\]
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| \[
{} -y+y^{\prime \prime } = 2 x^{4}-3 x +1
\]
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{} y^{\prime \prime }+y^{\prime } = 4 x^{3}-2 \,{\mathrm e}^{2 x}
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x^{2} {\mathrm e}^{-x}+1
\]
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x} \sin \left (3 x \right )
\]
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{} y^{\prime \prime }-2 y^{\prime }-3 y = {\mathrm e}^{4 x}
\]
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