| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{3 x} \sin \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x} \ln \left (x \right )}{x}
\]
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{} y^{\prime \prime }-4 y^{\prime }+5 y = {\mathrm e}^{2 x} \sec \left (x \right )^{2}
\]
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| \[
{} y^{\prime \prime }+y = \cos \left (x \right )
\]
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{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = x \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }-2 y = x^{2}+4 x +3
\]
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| \[
{} y^{\prime \prime }+3 y = -x^{6}+x^{4}
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = x^{2}
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }+8 y = x^{2} {\mathrm e}^{x}
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 6
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-x y = 2 x
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+y = x \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 4 x^{2}
\]
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| \[
{} y^{\prime \prime }+9 y = 3 x -6
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime } = 2 x
\]
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| \[
{} y^{\prime \prime }+y = x^{2}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x} \cos \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = \ln \left (x \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime } = x +{\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = \ln \left (x \right )+1
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 12 \,{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}}
\]
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| \[
{} y^{\prime \prime }+i y = \cosh \left (x \right )
\]
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| \[
{} y^{\prime \prime }+4 y = x -4
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }-5 y = x^{2} {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-y = \sinh \left (x \right )
\]
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| \[
{} y^{\prime \prime }+y = \cot \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+a x y^{\prime }+b y = f \left (x \right )
\]
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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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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 7+75 \sin \left (2 x \right )
\]
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 50 x +13 \,{\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }+y = \cos \left (x \right )
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x}
\]
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{-x} \left (2 \sin \left (x \right )+4 \cos \left (x \right )\right )
\]
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| \[
{} -y+y^{\prime \prime } = 8 x \,{\mathrm e}^{x}
\]
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| \[
{} -y+y^{\prime \prime } = 10 \sin \left (x \right )^{2}
\]
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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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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 10 \,{\mathrm e}^{-3 x}
\]
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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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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x
\]
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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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| \[
{} -y+y^{\prime \prime } = 2 x -3
\]
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| \[
{} -y+y^{\prime \prime } = x +\sin \left (x \right )
\]
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{2 x}
\]
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| \[
{} -y+y^{\prime \prime } = 16 \,{\mathrm e}^{3 x}
\]
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| \[
{} -y+y^{\prime \prime } = \cos \left (4 x \right )
\]
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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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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x}
\]
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{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x}
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 7+{\mathrm e}^{x}+{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{3 x}
\]
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