| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-2 y^{\prime }-y = x^{2} {\mathrm e}^{x}
\]
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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 \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y = x^{2} {\mathrm e}^{3 x}
\]
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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 \prime }+4 y^{\prime \prime }-6 y^{\prime }-12 y = \sinh \left (x \right )^{4}
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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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{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{x}
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = {\mathrm e}^{x}+{\mathrm e}^{-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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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x} \sin \left (3 x \right )
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{} y^{\prime \prime \prime }-y^{\prime } = x^{5}+1
\]
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{} y^{\prime \prime }-2 y^{\prime }-3 y = {\mathrm e}^{4 x}
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-12 y = 2 \,{\mathrm e}^{3 x}-4 \,{\mathrm e}^{-5 x}
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{} y^{\prime \prime }-4 y^{\prime }+3 y = x^{3} {\mathrm e}^{2 x}
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{} y+2 y^{\prime }+y^{\prime \prime } = 2 x^{2} {\mathrm e}^{-2 x}+3 \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }+y = x^{2} \cos \left (x \right )
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{} y^{\prime \prime }+3 y = x^{2}+1
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left (x \right )
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{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x}+{\mathrm e}^{-x}
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{} y^{\prime \prime \prime }-4 y = 4 x +2+3 \,{\mathrm e}^{-2 x}
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{} i^{\prime \prime }+2 i^{\prime }+5 i = 34 \cos \left (2 t \right )
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{} x^{\prime \prime \prime \prime }-x = 8 \,{\mathrm e}^{-t}
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{} y^{\prime \prime }-4 y = x \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-2 y^{\prime \prime } = 1
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{} y^{\prime \prime \prime \prime }+16 y^{\prime \prime } = 64 \cos \left (4 x \right )
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{} y^{\prime \prime }+4 y = x \left (\cos \left (x \right )+1\right )
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{} r^{\prime \prime }-2 r = -{\mathrm e}^{-2 t}
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime } = 12 \,{\mathrm e}^{2 x}+24 x^{2}
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} s^{\prime \prime \prime \prime }-2 s^{\prime \prime }+s = 100 \cos \left (3 t \right )
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{} 4 y^{\prime \prime }-4 y^{\prime }+y = \ln \left (x \right )
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{} y^{\left (5\right )}-5 y^{\prime \prime }+4 y^{\prime } = x^{2}-x +{\mathrm e}^{x}
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{} i^{\prime \prime \prime \prime }+9 i^{\prime \prime } = 20 \,{\mathrm e}^{-t}
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 64 \sin \left (2 x \right )
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{} y^{\prime \prime }+\lambda y = 0
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{} Q^{\prime \prime }+k Q = e \left (t \right )
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| \[
{} y^{\prime \prime } = f \left (x \right )
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{} y^{\prime \prime }+y = f \left (x \right )
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{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
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{} y^{\prime \prime }+2 y^{\prime } = 4
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{} y^{\prime \prime }+9 y = 20 \,{\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 12 t
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{} y^{\prime \prime }+8 y^{\prime }+25 y = 100
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 12 \,{\mathrm e}^{-t}
\]
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{} y^{\prime \prime \prime \prime }-y = \cos \left (t \right )
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{} y^{\prime \prime }+y = 0
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{} y^{\prime \prime }+y = 3 \delta \left (t -\pi \right )
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 6 \delta \left (t -2\right )
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
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{} y^{\prime \prime }-4 y = 0
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{} y^{\prime \prime }+7 y^{\prime }-8 y = 0
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{} 3 x^{\prime \prime }+19 x^{\prime }-14 x = 0
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{} 8 y^{\prime \prime }-10 y^{\prime }+3 y = 0
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{} y^{\prime \prime }-9 y^{\prime }+18 y = 0
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{} y^{\prime \prime }-2 y^{\prime }-63 y = 0
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{} 20 y^{\prime \prime }-3 y^{\prime }-2 y = 0
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{} 35 y^{\prime \prime }-29 y^{\prime }+6 y = 0
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{} 3 y^{\prime \prime }+2 y^{\prime }-2 y = 0
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{} 12 x^{\prime \prime }-25 x^{\prime }+12 x = 0
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{} 38 x^{\prime \prime }+10 x^{\prime }-3 x = 0
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{} 2 y^{\prime \prime }-15 y^{\prime }+27 y = 0
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{} y^{\prime \prime }-3 y = 0
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{} y^{\prime \prime }-8 y = 0
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{} 4 y^{\prime \prime }-7 y = 0
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{} z^{\prime \prime }-3 z^{\prime }+z = 0
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{} y^{\prime \prime }+8 y^{\prime }+4 y = 0
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{} x^{\prime \prime }+36 x = 0
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{} y^{\prime \prime }+3 y = 0
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{} z^{\prime \prime }+g z = 0
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{} 9 y^{\prime \prime }+49 y = 0
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{} y^{\prime \prime }+3 y^{\prime }+3 y = 0
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{} x^{\prime \prime }+2 x^{\prime }+4 x = 0
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{} z^{\prime \prime }-7 z^{\prime }-13 z = 0
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{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
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{} y^{\prime \prime }-5 y^{\prime }+8 y = 0
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{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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