| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-y^{\prime } = {\mathrm e}^{x} \sin \left (x \right )
\]
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{} y^{\prime \prime }+2 y^{\prime } = 4 \,{\mathrm e}^{x} \left (\cos \left (x \right )+\sin \left (x \right )\right )
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{} 5 y+4 y^{\prime }+y^{\prime \prime } = 10 \,{\mathrm e}^{-2 x} \cos \left (x \right )
\]
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{} 4 y^{\prime \prime }+8 y^{\prime } = x \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 }+y^{\prime }-2 y = x^{2} {\mathrm e}^{4 x}
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \left (x^{2}+x \right ) {\mathrm e}^{3 x}
\]
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = x^{2}+x
\]
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = x^{3}
\]
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = x^{2}+x
\]
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{} y^{\prime \prime }+y = x^{2} \sin \left (x \right )
\]
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{} y+2 y^{\prime }+y^{\prime \prime } = x^{2} {\mathrm e}^{-x} \cos \left (x \right )
\]
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{} y^{\prime \prime \prime }-y = \sin \left (x \right )
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = \cos \left (x \right )
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = \cos \left (2 x \right ) {\mathrm e}^{x}
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{} y^{\prime \prime }-4 y^{\prime }+5 y = {\mathrm e}^{2 x} \left (\sin \left (x \right )+2 \cos \left (x \right )\right )
\]
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{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{x}+{\mathrm e}^{-2 x}
\]
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{} y^{\prime \prime }+4 y^{\prime } = x +{\mathrm e}^{-4 x}
\]
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| \[
{} -y+y^{\prime \prime } = x +\sin \left (x \right )
\]
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{} y^{\prime \prime }-2 y^{\prime }+2 y = \left (\sin \left (x \right )+1\right ) {\mathrm e}^{x}
\]
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{} y^{\prime \prime \prime }-y^{\prime \prime } = {\mathrm e}^{x}+1
\]
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{} y^{\prime \prime \prime }+4 y^{\prime } = {\mathrm e}^{2 x}+\sin \left (2 x \right )
\]
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{} y^{\prime \prime }+4 y = \sin \left (2 x \right ) \sin \left (x \right )
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{} y^{\prime \prime }-4 y^{\prime } = 2 \cos \left (4 x \right )^{2}
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{} y^{\prime \prime }-y^{\prime }-2 y = 4 x -2 \,{\mathrm e}^{x}
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{} y^{\prime \prime }-3 y^{\prime } = 18 x -10 \cos \left (x \right )
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = 2+{\mathrm e}^{x} \sin \left (x \right )
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{} y^{\prime \prime }+2 y^{\prime }+2 y = \left (5 x +4\right ) {\mathrm e}^{x}+{\mathrm e}^{-x}
\]
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 4 \,{\mathrm e}^{-x}+17 \sin \left (2 x \right )
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{} 2 y^{\prime \prime }-3 y^{\prime }-2 y = 5 \,{\mathrm e}^{x} \cosh \left (x \right )
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{} y^{\prime \prime }+4 y = x \sin \left (x \right )^{2}
\]
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| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = x \,{\mathrm e}^{x}+\frac {\cos \left (x \right )}{2}
\]
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{} y^{\prime \prime }+y^{\prime } = \cos \left (x \right )^{2}+{\mathrm e}^{x}+x^{2}
\]
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime } = {\mathrm e}^{x}+3 \sin \left (2 x \right )+1
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{} y^{\prime \prime }-2 y^{\prime }+5 y = 10 \sin \left (x \right )+17 \sin \left (2 x \right )
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{} y^{\prime \prime }+y^{\prime } = x^{2}-{\mathrm e}^{-x}+{\mathrm e}^{x}
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{} y^{\prime \prime }-2 y^{\prime }-3 y = 2 x +{\mathrm e}^{-x}-2 \,{\mathrm e}^{3 x}
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{} y^{\prime \prime }+4 y = {\mathrm e}^{x}+4 \sin \left (2 x \right )+2 \cos \left (x \right )^{2}-1
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 6 x \,{\mathrm e}^{-x} \left (1-{\mathrm e}^{-x}\right )
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{} y^{\prime \prime }+y = \cos \left (2 x \right )^{2}+\sin \left (\frac {x}{2}\right )^{2}
\]
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{} y^{\prime \prime }-4 y^{\prime }+5 y = 1+8 \cos \left (x \right )+{\mathrm e}^{2 x}
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{} y^{\prime \prime }-2 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (\frac {x}{2}\right )^{2}
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{} y^{\prime \prime }-3 y^{\prime } = 1+{\mathrm e}^{x}+\cos \left (x \right )+\sin \left (x \right )
\]
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{} y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{x} \left (1-2 \sin \left (x \right )^{2}\right )+10 x +1
\]
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 4 x +\sin \left (x \right )+\sin \left (2 x \right )
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{} y+2 y^{\prime }+y^{\prime \prime } = 1+2 \cos \left (x \right )+\cos \left (2 x \right )-\sin \left (2 x \right )
\]
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{} y^{\prime \prime }+y^{\prime }+y+1 = \sin \left (x \right )+x +x^{2}
\]
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 18 \,{\mathrm e}^{-3 x}+8 \sin \left (x \right )+6 \cos \left (x \right )
\]
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{} y^{\prime \prime }+2 y^{\prime }+1 = 3 \sin \left (2 x \right )+\cos \left (x \right )
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}+2 x
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{} y^{\prime \prime }+y = 2 \sin \left (2 x \right ) \sin \left (x \right )
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{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 4 x +3 \sin \left (x \right )+\cos \left (x \right )
\]
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{} -4 y^{\prime }+y^{\prime \prime \prime } = x \,{\mathrm e}^{2 x}+\sin \left (x \right )+x^{2}
\]
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{} y^{\left (5\right )}-y^{\prime \prime \prime \prime } = x \,{\mathrm e}^{x}-1
\]
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{} y^{\left (5\right )}-y^{\prime \prime \prime } = x +2 \,{\mathrm e}^{-x}
\]
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{} y^{\prime \prime }+y = 2-2 x
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{} y^{\prime \prime }-6 y^{\prime }+9 y = 9 x^{2}-12 x +2
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{} y^{\prime \prime }+9 y = 36 \,{\mathrm e}^{3 x}
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 2 \,{\mathrm e}^{2 x}
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{} 6 y-5 y^{\prime }+y^{\prime \prime } = \left (12 x -7\right ) {\mathrm e}^{-x}
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{} y^{\prime \prime }+y^{\prime } = {\mathrm e}^{-x}
\]
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 10 \sin \left (x \right )
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{} y^{\prime \prime }+y = 2 \cos \left (x \right )
\]
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{} y^{\prime \prime }+4 y = \sin \left (x \right )
\]
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{} y^{\prime \prime }+y = 4 x \cos \left (x \right )
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{} y^{\prime \prime }-4 y^{\prime }+5 y = 2 x^{2} {\mathrm e}^{x}
\]
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{} y^{\prime \prime }-6 y^{\prime }+9 y = 16 \,{\mathrm e}^{-x}+9 x -6
\]
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{} y^{\prime \prime }-y^{\prime } = -5 \,{\mathrm e}^{-x} \left (\cos \left (x \right )+\sin \left (x \right )\right )
\]
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{} y^{\prime \prime }-2 y^{\prime }+2 y = 4 \,{\mathrm e}^{x} \cos \left (x \right )
\]
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{} y^{\prime \prime \prime }-y^{\prime } = -2 x
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{} y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x}
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{} y^{\prime \prime \prime }-y = 2 x
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{} y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x}
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{} y^{\prime \prime }-4 y^{\prime }+5 y = \sin \left (x \right )
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 4 \cos \left (2 x \right )+\sin \left (2 x \right )
\]
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{} -y+y^{\prime \prime } = 1
\]
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{} -y+y^{\prime \prime } = -2 \cos \left (x \right )
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = 4 \,{\mathrm e}^{-x}
\]
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{} y^{\prime \prime }+4 y^{\prime }+3 y = 8 \,{\mathrm e}^{x}+9
\]
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{} y^{\prime \prime }-y^{\prime }-5 y = 1
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 2 \,{\mathrm e}^{x} \left (\sin \left (x \right )+7 \cos \left (x \right )\right )
\]
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{} 6 y-5 y^{\prime }+y^{\prime \prime } = 2 \,{\mathrm e}^{-2 x} \left (9 \sin \left (2 x \right )+4 \cos \left (2 x \right )\right )
\]
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{-x} \left (9 x^{2}+5 x -12\right )
\]
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{} y^{\prime \prime }+y = \frac {1}{\sin \left (x \right )}
\]
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{} y^{\prime \prime }+y^{\prime } = \frac {1}{{\mathrm e}^{x}+1}
\]
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{} y^{\prime \prime }+y = \frac {1}{\cos \left (x \right )^{3}}
\]
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{} y^{\prime \prime }+y = \frac {1}{\sqrt {\sin \left (x \right )^{5} \cos \left (x \right )}}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x^{2}+1}
\]
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{} y^{\prime \prime }+2 y^{\prime }+2 y = \frac {{\mathrm e}^{-x}}{\sin \left (x \right )}
\]
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{} y^{\prime \prime }+y = \frac {2}{\sin \left (x \right )^{3}}
\]
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{} y^{\prime \prime }+y^{\prime } = {\mathrm e}^{2 x} \cos \left ({\mathrm e}^{x}\right )
\]
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{} y^{\prime \prime \prime }+y^{\prime \prime } = \frac {x -1}{x^{3}}
\]
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| \[
{} x^{\prime \prime }+x^{\prime }+x = 0
\]
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{} x^{\prime \prime }+2 x^{\prime }+6 x = 0
\]
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{} x^{\prime \prime }+2 x^{\prime }+x = 0
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{} y^{\prime \prime }+\lambda y = 0
\]
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{} y^{\prime \prime }+\lambda y = 0
\]
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{} -y+y^{\prime \prime } = 0
\]
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{} y^{\prime \prime }+y = 0
\]
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