| # | ODE | Mathematica | Maple | Sympy |
| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{-2 x} \sin \left ({\mathrm e}^{-x}\right )
\]
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{} y^{\prime \prime }-5 y^{\prime }+4 y = \frac {6}{1+{\mathrm e}^{-2 x}}
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{} -y+y^{\prime \prime } = \frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}}
\]
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{} y^{\prime \prime }-4 y^{\prime }-3 y = \cos \left ({\mathrm e}^{-x}\right )
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 15 \sqrt {1+{\mathrm e}^{-x}}
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \frac {1}{\sqrt {1+{\mathrm e}^{-2 x}}}
\]
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{} y^{\prime \prime }+4 y^{\prime }+4 y = f \left (x \right )
\]
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{} y+2 y^{\prime }+y^{\prime \prime } = \frac {1}{\left (-1+{\mathrm e}^{x}\right )^{2}}
\]
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{} y+2 y^{\prime }+y^{\prime \prime } = \frac {1}{\left ({\mathrm e}^{x}+1\right )^{2}}
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{} y^{\prime \prime }-4 y^{\prime }+3 y = \sin \left ({\mathrm e}^{-x}\right )
\]
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{} -y+y^{\prime \prime } = \frac {2 \,{\mathrm e}^{x}}{\left ({\mathrm e}^{x}+1\right )^{2}}
\]
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }+y = \sec \left (x \right )^{3}
\]
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{} y^{\prime \prime }+y = \csc \left (x \right )^{3}
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \frac {1}{\sqrt {1+{\mathrm e}^{-2 x}}}
\]
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{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{-2 x}}{x^{2}}
\]
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{} -y+y^{\prime \prime } = \frac {2 \,{\mathrm e}^{-x}}{\left (1+{\mathrm e}^{-2 x}\right )^{2}}
\]
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| \[
{} -y+y^{\prime \prime } = \frac {1}{\left (1-{\mathrm e}^{2 x}\right )^{{3}/{2}}}
\]
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{2 x} \left (3 \tan \left ({\mathrm e}^{x}\right )+{\mathrm e}^{x} \sec \left ({\mathrm e}^{x}\right )^{2}\right )
\]
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{} y^{\prime \prime }+y = \sec \left (x \right )^{2} \tan \left (x \right )
\]
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{} y^{\prime \prime }+y = \csc \left (x \right )
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \sec \left ({\mathrm e}^{-x}\right )^{2}
\]
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| \[
{} -y+y^{\prime \prime } = \frac {2}{{\mathrm e}^{x}+1}
\]
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| \[
{} -y+y^{\prime \prime } = \frac {2}{{\mathrm e}^{x}-{\mathrm e}^{-x}}
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left ({\mathrm e}^{-x}\right )
\]
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| \[
{} -y+y^{\prime \prime } = \frac {1}{{\mathrm e}^{2 x}+1}
\]
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{} y^{\prime \prime }+y = \sec \left (x \right )^{3} \tan \left (x \right )
\]
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{} y^{\prime \prime }+y = \sec \left (x \right ) \tan \left (x \right )^{2}
\]
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{} y^{\prime \prime }+4 y^{\prime }+3 y = \sin \left ({\mathrm e}^{x}\right )
\]
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{} y^{\prime \prime }+y = \csc \left (x \right )^{3} \cot \left (x \right )
\]
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| \[
{} x y^{\prime \prime } = y^{\prime }+x^{5}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x = 0
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| \[
{} -x^{2} y^{\prime }+x^{3} y^{\prime \prime } = -x^{2}+3
\]
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{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = 2 x +\left (x^{2}-y^{\prime }\right )^{2}
\]
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| \[
{} {y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }+x^{2} = 0
\]
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| \[
{} 3 y y^{\prime } y^{\prime \prime } = -1+{y^{\prime }}^{3}
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{} 4 y {y^{\prime }}^{2} y^{\prime \prime } = 3+{y^{\prime }}^{4}
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| \[
{} y^{\prime \prime } = 2 t +1
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{} y^{\prime \prime } = 6 \sin \left (3 t \right )
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{} y^{\prime \prime } = 6 \sin \left (3 t \right )
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{} y^{\prime \prime }-4 y^{\prime }+4 y = 4 \,{\mathrm e}^{2 t}
\]
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{} y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{-2 t}
\]
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| \[
{} y^{\prime \prime }+4 y = 8
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{} y^{\prime \prime }+2 y^{\prime }+y = 9 \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 12 \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }-4 y^{\prime }-5 y = 150 t
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 4 \cos \left (2 t \right )
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 4
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{t}
\]
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 4 \cos \left (2 t \right )
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 50 \sin \left (t \right )
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{} y^{\prime \prime }+4 y = \sin \left (3 t \right )
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{} y^{\prime \prime }+2 y^{\prime }+2 y = 2 \cos \left (t \right )+\sin \left (t \right )
\]
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{} y^{\prime \prime }+y = 4 \sin \left (t \right )
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{} y^{\prime \prime }+9 y = 36 t \sin \left (3 t \right )
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{} y^{\prime \prime }-3 y = 4 t^{2} \cos \left (t \right )
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{} y^{\prime \prime }+4 y = 32 t \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }-y y^{\prime } = 6
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| \[
{} y^{\prime \prime }-3 y^{\prime } = {\mathrm e}^{t}
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{} y^{\prime \prime }+2 y^{\prime }+3 y = {\mathrm e}^{-t}
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{} y^{\prime \prime }+8 y = t
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{} y^{\prime \prime }+2 = \cos \left (t \right )
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{} y^{\prime \prime }+3 y^{\prime }-4 y = {\mathrm e}^{2 t}
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{} y^{\prime \prime }-3 y^{\prime }-10 y = 7 \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{t}
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-t}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 4
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{} y^{\prime \prime }+4 y^{\prime }+5 y = {\mathrm e}^{-3 t}
\]
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{} y^{\prime \prime }+4 y = 1+{\mathrm e}^{t}
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{} y^{\prime \prime }-y = t^{2}
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{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{t}
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{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{2 t}
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{} y^{\prime \prime }+y = 2 \sin \left (t \right )
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 25 t \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 25 t \,{\mathrm e}^{-3 t}
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{} y^{\prime \prime }+6 y^{\prime }+13 y = {\mathrm e}^{-3 t} \cos \left (2 t \right )
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{} y^{\prime \prime }-8 y^{\prime }+25 y = 104 \sin \left (3 t \right )
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{} y^{\prime \prime }-5 y^{\prime }-6 y = {\mathrm e}^{3 t}
\]
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 8 \,{\mathrm e}^{-t}
\]
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{} y^{\prime \prime }+y = 10 \,{\mathrm e}^{2 t}
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{} y^{\prime \prime }-4 y = 2-8 t
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{} y^{\prime \prime }-4 y = {\mathrm e}^{-6 t}
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{} y^{\prime \prime }+2 y^{\prime }-15 y = 16 \,{\mathrm e}^{t}
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{} y^{\prime \prime }+5 y^{\prime }+6 y = {\mathrm e}^{-2 t}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 4
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{} y^{\prime \prime }+2 y^{\prime }-8 y = 6 \,{\mathrm e}^{-4 t}
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{} y^{\prime \prime }+3 y^{\prime }-10 y = \sin \left (t \right )
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 25 t \,{\mathrm e}^{2 t}
\]
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{} y^{\prime \prime }-5 y^{\prime }-6 y = 10 t \,{\mathrm e}^{4 t}
\]
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{} y^{\prime \prime }-8 y^{\prime }+25 y = 36 t \,{\mathrm e}^{4 t} \sin \left (3 t \right )
\]
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{} y^{\prime \prime }+2 y^{\prime }+y = \cos \left (t \right )
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{} y^{\prime \prime }+2 y^{\prime }+2 y = {\mathrm e}^{t} \cos \left (t \right )
\]
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{} y^{\prime \prime }+y^{\prime }+y = t^{2}
\]
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{} 3 t^{2} y^{\prime \prime }+2 t y^{\prime }+y = {\mathrm e}^{2 t}
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| \[
{} y^{\prime \prime }+\sqrt {y^{\prime }}+y = t
\]
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| \[
{} y^{\prime \prime }+\sqrt {t}\, y^{\prime }+y = \sqrt {t}
\]
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{} t^{2} y^{\prime \prime }+t y^{\prime }-y = \sqrt {t}
\]
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{} t^{2} y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = t^{2} {\mathrm e}^{-t}
\]
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{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 2 t
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