| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} -y+y^{\prime \prime } = 4-x
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2 \left (1-x \right ) {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{5 x}
\]
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| \[
{} y^{\prime \prime }+9 y = x \cos \left (x \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }-15 y = 0
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime } = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+12 y^{\prime \prime }-8 y^{\prime } = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime }+25 y = 0
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }+9 y^{\prime }-9 y = 0
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| \[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 0
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| \[
{} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 1
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| \[
{} y^{\prime \prime }-4 y^{\prime } = 5
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime } = 5
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| \[
{} y^{\left (5\right )}-4 y^{\prime \prime \prime } = 5
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| \[
{} -4 y^{\prime }+y^{\prime \prime \prime } = x
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = -2 x^{2}+2 x +2
\]
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| \[
{} -y+y^{\prime \prime } = 4 x \,{\mathrm e}^{x}
\]
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| \[
{} -y+y^{\prime \prime } = \sin \left (x \right )^{2}
\]
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| \[
{} -y+y^{\prime \prime } = \frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}}
\]
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| \[
{} y^{\prime \prime }+y = \csc \left (x \right )
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left ({\mathrm e}^{-x}\right )
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| \[
{} y^{\prime \prime }+y = \csc \left (x \right )
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| \[
{} y^{\prime \prime }+4 y = 4 \sec \left (x \right )^{2}
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = \frac {1}{1+{\mathrm e}^{-x}}
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{-x} \sin \left ({\mathrm e}^{-x}\right )+\cos \left ({\mathrm e}^{-x}\right )
\]
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| \[
{} -y+y^{\prime \prime } = \frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}}
\]
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| \[
{} y^{\prime \prime }+2 y = {\mathrm e}^{x}+2
\]
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| \[
{} -y+y^{\prime \prime } = \sin \left (2 x \right ) {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = x^{2}+\sin \left (x \right )
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| \[
{} y^{\prime \prime }-9 y = x +{\mathrm e}^{2 x}-\sin \left (2 x \right )
\]
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| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x^{2}+4 x +8
\]
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| \[
{} y^{\prime \prime }+y = -2 \sin \left (x \right )+4 x \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y = 2 x^{2}-4 x -1+2 x^{2} {\mathrm e}^{2 x}+5 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{3 x}+6 \,{\mathrm e}^{x}-3 \,{\mathrm e}^{-2 x}+5
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{x}
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x}+x \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime \prime }-y = \sin \left (2 x \right )
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| \[
{} y^{\prime \prime \prime }+y = \cos \left (x \right )
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{} y^{\prime \prime }+4 y = \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }+5 y = \cos \left (x \sqrt {5}\right )
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{x}+{\mathrm e}^{-x}+\sin \left (x \right )
\]
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| \[
{} -y+y^{\prime \prime } = x^{2}
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| \[
{} y^{\prime \prime }+2 y = x^{3}+x^{2}+{\mathrm e}^{-2 x}+\cos \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-y = {\mathrm e}^{x} \cos \left (x \right )
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = \frac {{\mathrm e}^{2 x}}{x^{2}}
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| \[
{} -y+y^{\prime \prime } = x \,{\mathrm e}^{3 x}
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{} y^{\prime \prime }+5 y^{\prime }+6 y = {\mathrm e}^{-2 x} \sec \left (x \right )^{2} \left (1+2 \tan \left (x \right )\right )
\]
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime } = x^{2}
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| \[
{} y^{\prime \prime }-6 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime }+y = \tan \left (x \right )
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 0
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{} 2 y^{\prime \prime }+7 y^{\prime }-4 y = 0
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{} y^{\prime \prime }+4 y^{\prime }+6 y = 10
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{} y^{\prime \prime }+2 y^{\prime }+4 y = 5 \sin \left (t \right )
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| \[
{} y^{\prime \prime } = f \left (x \right )
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{} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y = 0
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| \[
{} x^{\prime \prime }+x = 0
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| \[
{} x^{\prime \prime }+x = 0
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| \[
{} x^{\prime \prime }+x = 0
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| \[
{} x^{\prime \prime }+x = 0
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+9 y = 18
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| \[
{} y^{\prime \prime } = y^{\prime }
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| \[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )-2 \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{x^{2}}
\]
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| \[
{} y^{\prime \prime }+9 y = 5
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 x +4
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{} y^{\prime \prime }-y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+9 y = 10 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }-\frac {y}{4} = 0
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }+5 y = 29 \cos \left (2 t \right )
\]
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| \[
{} y^{\prime \prime }+7 y^{\prime }+12 y = 21 \,{\mathrm e}^{3 t}
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 6 t -8
\]
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| \[
{} y^{\prime \prime }+\frac {y}{25} = \frac {t^{2}}{50}
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+\frac {9 y}{4} = 9 t^{3}+64
\]
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