| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (x \right )
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| \[
{} x^{\prime } = x t^{2}
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{} x^{\prime } = -x^{2}
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| \[
{} y^{\prime } = y^{2} {\mathrm e}^{-t^{2}}
\]
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| \[
{} x^{\prime }+p x = q
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| \[
{} x y^{\prime } = k y
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{} i^{\prime } = p \left (t \right ) i
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| \[
{} x^{\prime } = \lambda x
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| \[
{} m v^{\prime } = -m g +k v^{2}
\]
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{} x^{\prime } = k x-x^{2}
\]
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| \[
{} x^{\prime } = -x \left (k^{2}+x^{2}\right )
\]
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| \[
{} y^{\prime }+\frac {y}{x} = x^{2}
\]
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| \[
{} x^{\prime }+t x = 4 t
\]
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| \[
{} z^{\prime } = z \tan \left (y \right )+\sin \left (y \right )
\]
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| \[
{} y^{\prime }+y \,{\mathrm e}^{-x} = 1
\]
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| \[
{} x^{\prime }+x \tanh \left (t \right ) = 3
\]
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| \[
{} y^{\prime }+2 y \cot \left (x \right ) = 5
\]
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| \[
{} x^{\prime }+5 x = t
\]
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| \[
{} x^{\prime }+\left (a +\frac {1}{t}\right ) x = b
\]
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| \[
{} T^{\prime } = -k \left (T-\mu -a \cos \left (\omega \left (t -\phi \right )\right )\right )
\]
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| \[
{} 2 x y-\sec \left (x \right )^{2}+\left (x^{2}+2 y\right ) y^{\prime } = 0
\]
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| \[
{} 1+y \,{\mathrm e}^{x}+y x \,{\mathrm e}^{x}+\left (x \,{\mathrm e}^{x}+2\right ) y^{\prime } = 0
\]
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| \[
{} \left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-\sin \left (x \right ) y+\sin \left (y\right ) = 0
\]
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| \[
{} {\mathrm e}^{x} \sin \left (y\right )+y+\left ({\mathrm e}^{x} \cos \left (y\right )+x +{\mathrm e}^{y}\right ) y^{\prime } = 0
\]
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| \[
{} {\mathrm e}^{-y} \sec \left (x \right )+2 \cos \left (x \right )-{\mathrm e}^{-y} y^{\prime } = 0
\]
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| \[
{} V^{\prime }\left (x \right )+2 y y^{\prime } = 0
\]
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| \[
{} \left (\frac {1}{y}-a \right ) y^{\prime }+\frac {2}{x}-b = 0
\]
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| \[
{} x y+y^{2}+x^{2}-x^{2} y^{\prime } = 0
\]
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| \[
{} x^{\prime } = \frac {x^{2}+t \sqrt {t^{2}+x^{2}}}{t x}
\]
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| \[
{} x^{\prime } = k x-x^{2}
\]
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| \[
{} x^{\prime \prime }-3 x^{\prime }+2 x = 0
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} z^{\prime \prime }-4 z^{\prime }+13 z = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime } = 0
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| \[
{} \theta ^{\prime \prime }+4 \theta = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+10 y = 0
\]
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| \[
{} 2 z^{\prime \prime }+7 z^{\prime }-4 z = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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| \[
{} x^{\prime \prime }+6 x^{\prime }+10 x = 0
\]
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| \[
{} 4 x^{\prime \prime }-20 x^{\prime }+21 x = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-4 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+\omega ^{2} y = 0
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| \[
{} x^{\prime \prime }-4 x = t^{2}
\]
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{} x^{\prime \prime }-4 x^{\prime } = t^{2}
\]
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| \[
{} x^{\prime \prime }+x^{\prime }-2 x = 3 \,{\mathrm e}^{-t}
\]
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{} x^{\prime \prime }+x^{\prime }-2 x = {\mathrm e}^{t}
\]
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{} x^{\prime \prime }+2 x^{\prime }+x = {\mathrm e}^{-t}
\]
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| \[
{} x^{\prime \prime }+\omega ^{2} x = \sin \left (\alpha t \right )
\]
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| \[
{} x^{\prime \prime }+\omega ^{2} x = \sin \left (\omega t \right )
\]
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{} x^{\prime \prime }+2 x^{\prime }+10 x = {\mathrm e}^{-t}
\]
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| \[
{} x^{\prime \prime }+2 x^{\prime }+10 x = {\mathrm e}^{-t} \cos \left (3 t \right )
\]
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{} x^{\prime \prime }+6 x^{\prime }+10 x = {\mathrm e}^{-2 t} \cos \left (t \right )
\]
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{} x^{\prime \prime }+4 x^{\prime }+4 x = {\mathrm e}^{2 t}
\]
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| \[
{} x^{\prime \prime }+x^{\prime }-2 x = 12 \,{\mathrm e}^{-t}-6 \,{\mathrm e}^{t}
\]
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| \[
{} x^{\prime \prime }+4 x = 289 t \,{\mathrm e}^{t} \sin \left (2 t \right )
\]
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| \[
{} x^{\prime \prime }+\omega ^{2} x = \cos \left (\alpha t \right )
\]
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{} x^{\prime \prime }+\omega ^{2} x = \cos \left (\omega t \right )
\]
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{} x^{\prime \prime \prime }-6 x^{\prime \prime }+11 x^{\prime }-6 x = {\mathrm e}^{-t}
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y = \sin \left (x \right )
\]
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{} x^{\prime \prime \prime \prime }-4 x^{\prime \prime \prime }+8 x^{\prime \prime }-8 x^{\prime }+4 x = \sin \left (t \right )
\]
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{} x^{\prime \prime \prime \prime }-5 x^{\prime \prime }+4 x = {\mathrm e}^{t}
\]
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| \[
{} t^{2} y^{\prime \prime }-\left (t^{2}+2 t \right ) y^{\prime }+\left (t +2\right ) y = 0
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} \left (\cos \left (t \right ) t -\sin \left (t \right )\right ) x^{\prime \prime }-x^{\prime } t \sin \left (t \right )-x \sin \left (t \right ) = 0
\]
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{} \left (-t^{2}+t \right ) x^{\prime \prime }+\left (-t^{2}+2\right ) x^{\prime }+\left (2-t \right ) x = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }+y = 0
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{} \tan \left (t \right ) x^{\prime \prime }-3 x^{\prime }+\left (\tan \left (t \right )+3 \cot \left (t \right )\right ) x = 0
\]
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{} y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{x}
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{} x^{\prime \prime }-x = \frac {1}{t}
\]
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{} 4 y+y^{\prime \prime } = \cot \left (2 x \right )
\]
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{} t^{2} x^{\prime \prime }-2 x = t^{3}
\]
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{} x^{\prime \prime }-4 x^{\prime } = \tan \left (t \right )
\]
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{} \left (\tan \left (x \right )^{2}-1\right ) y^{\prime \prime }-4 \tan \left (x \right )^{3} y^{\prime }+2 y \sec \left (x \right )^{4} = \left (\tan \left (x \right )^{2}-1\right ) \left (1-2 \sin \left (x \right )^{2}\right )
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
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{} 4 x^{2} y^{\prime \prime }+y = 0
\]
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{} t^{2} x^{\prime \prime }-5 t x^{\prime }+10 x = 0
\]
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{} t^{2} x^{\prime \prime }+t x^{\prime }-x = 0
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{} x^{2} z^{\prime \prime }+3 x z^{\prime }+4 z = 0
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{} x^{2} y^{\prime \prime }-x y^{\prime }-3 y = 0
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{} 4 t^{2} x^{\prime \prime }+8 t x^{\prime }+5 x = 0
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{} x^{2} y^{\prime \prime }-5 x y^{\prime }+5 y = 0
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{} 3 x^{2} z^{\prime \prime }+5 x z^{\prime }-z = 0
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{} t^{2} x^{\prime \prime }+3 t x^{\prime }+13 x = 0
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| \[
{} a y^{\prime \prime }+\left (-a +b \right ) y^{\prime }+c y = 0
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| \[
{} n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
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{} y^{\prime \prime }-x y^{\prime }+y = 0
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{} \left (x^{2}+1\right ) y^{\prime \prime }+y = 0
\]
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{} 2 x y^{\prime \prime }+y^{\prime }-2 y = 0
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{} y^{\prime \prime }-2 x y^{\prime }-4 y = 0
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{} y^{\prime \prime }-2 x y^{\prime }+4 y = 0
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| \[
{} -y-3 x y^{\prime }+\left (1-x \right ) x y^{\prime \prime } = 0
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }-x^{2} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-n^{2}+x^{2}\right ) y = 0
\]
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| \[
{} [x^{\prime }\left (t \right ) = 4 x \left (t \right )-y \left (t \right ), y^{\prime }\left (t \right ) = 2 x \left (t \right )+y \left (t \right )+t^{2}]
\]
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{} [x^{\prime }\left (t \right ) = x \left (t \right )-4 y \left (t \right )+\cos \left (2 t \right ), y^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right )]
\]
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| \[
{} [x^{\prime }\left (t \right ) = 2 x \left (t \right )+2 y \left (t \right ), y^{\prime }\left (t \right ) = 6 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}]
\]
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