| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-\left (a +b \right ) y^{\prime }+b y a = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }-10 y = 0
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+a^{2} y-2 a y^{\prime }+y b^{2} = 0
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| \[
{} y^{\prime \prime }-2 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 }+9 y = 0
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| \[
{} y^{\prime \prime }-9 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+7 y = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} x^{\prime \prime }+k^{2} x = 0
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| \[
{} x^{\prime \prime }+2 b x^{\prime }+k^{2} x = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+y = 1
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| \[
{} y^{\prime \prime }+4 y = 8
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| \[
{} y^{\prime \prime }+4 y^{\prime }-5 y = 20
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| \[
{} y^{\prime \prime }+y^{\prime } = -\cos \left (x \right )
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 27 x^{2}
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = -6 x^{2}-8 x +4
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| \[
{} y^{\prime \prime }+4 y = 15 \,{\mathrm e}^{x}-8 x
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| \[
{} y^{\prime \prime }+4 y = 15 \,{\mathrm e}^{x}-8 x^{2}
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 12 \,{\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 12 \,{\mathrm e}^{-2 x}
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| \[
{} y^{\prime \prime }-4 y = 2+{\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 6 x +6 \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 20 \cos \left (x \right )
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 2 \cos \left (x \right )+4 \sin \left (x \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 7+75 \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 50 x +13 \,{\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }+y = \cos \left (x \right )
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{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-y = {\mathrm e}^{-x} \left (2 \sin \left (x \right )+4 \cos \left (x \right )\right )
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| \[
{} y^{\prime \prime }-y = 8 x \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-y = 10 \sin \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+y = 12 \cos \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+4 y = 4 \sin \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+y = 10 \,{\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-4 y = 2-8 x
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| \[
{} y^{\prime \prime }+3 y^{\prime } = -18 x
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| \[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 10 \,{\mathrm e}^{-3 x}
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| \[
{} x^{\prime \prime }+4 x^{\prime }+5 x = 10
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| \[
{} x^{\prime \prime }+4 x^{\prime }+5 x = 8 \sin \left (t \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = x
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = x
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| \[
{} 4 y^{\prime \prime }+y = 2
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| \[
{} 2 y^{\prime \prime }-5 y^{\prime }-3 y = -9 x^{2}-1
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| \[
{} y^{\prime \prime }+y^{\prime } = 1+x
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| \[
{} y^{\prime \prime }+y = x^{3}
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| \[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime } = 2-2 x
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| \[
{} y^{\prime \prime }+9 y = \sin \left (3 x \right )
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| \[
{} y^{\prime \prime }+a^{2} y = \sin \left (b x \right )
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| \[
{} y^{\prime \prime }+a^{2} y = \sin \left (a x \right )
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| \[
{} y^{\prime \prime }+9 y = 4 \cos \left (x \right )
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{} y^{\prime \prime }+9 y = 15 \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+9 y = 18 x -3+20 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-y^{\prime } = 42 \,{\mathrm e}^{4 x}
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{} y^{\prime \prime }-4 y^{\prime }+3 y = {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }+6 y^{\prime }+14 y = 42 \,{\mathrm e}^{x}-7
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }+y = 1+4 x
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{} y^{\prime \prime }+y = \sin \left (2 x \right )
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{} y^{\prime \prime }+y = \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{x}-x +\sin \left (3 x \right )
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| \[
{} y^{\prime \prime }-y = 2 x -3
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| \[
{} y^{\prime \prime }-y = x +\sin \left (x \right )
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| \[
{} y^{\prime \prime }-y = {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-y = 16 \,{\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }-y = \cos \left (4 x \right )
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 6 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 4-{\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{2 x}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{3 x}
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{} 4 y^{\prime \prime }-y = {\mathrm e}^{x}
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| \[
{} 4 y^{\prime \prime }-y = x
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| \[
{} 4 y^{\prime \prime }-y = x +{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 7+{\mathrm e}^{x}+{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\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^{\prime }+4 y = 12 x \,{\mathrm e}^{-2 x}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 3 x \,{\mathrm e}^{-x}
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{} y^{\prime \prime }-y^{\prime }-2 y = 18 x \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 36 x \,{\mathrm e}^{2 x}
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{} y^{\prime \prime }-4 y^{\prime }+4 y = 20-3 x \,{\mathrm e}^{2 x}
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