| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime } = y-y^{3}
\]
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| \[
{} y^{\prime } = y-y^{3}
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| \[
{} y^{\prime } = \frac {1}{y-3}
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| \[
{} y^{\prime } = \frac {1}{y-3}
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| \[
{} y^{\prime } = \frac {1}{y-3}
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| \[
{} y^{\prime } = \frac {1}{y-3}
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| \[
{} y^{\prime } = \frac {1}{\sin \left (x \right )+1}
\]
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| \[
{} y^{\prime } = \frac {\sin \left (\sqrt {x}\right )}{\sqrt {y}}
\]
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| \[
{} \left (\sqrt {x}+x \right ) y^{\prime } = \sqrt {y}+y
\]
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| \[
{} y^{\prime } = y^{{2}/{3}}-y
\]
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| \[
{} y^{\prime } = \frac {{\mathrm e}^{\sqrt {x}}}{y}
\]
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| \[
{} y^{\prime } = \frac {x \arctan \left (x \right )}{y}
\]
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| \[
{} y^{\prime } = -\frac {x}{y}
\]
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| \[
{} y^{\prime } = x \sqrt {y}
\]
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| \[
{} y^{\prime } = \sqrt {1+y^{2}}\, \sin \left (y\right )^{2}
\]
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| \[
{} y^{\prime } = y
\]
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| \[
{} y^{\prime } = y+\frac {y}{x \ln \left (x \right )}
\]
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| \[
{} {y^{\prime }}^{2}+y^{2} = 1
\]
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| \[
{} y^{\prime } = \sqrt {\frac {1-y^{2}}{-x^{2}+1}}
\]
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| \[
{} m^{\prime } = -\frac {k}{m^{2}}
\]
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| \[
{} u^{\prime } = a \sqrt {1+u^{2}}
\]
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| \[
{} x^{\prime } = k \left (A -x\right )^{2}
\]
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| \[
{} 1+{x^{\prime }}^{2} = \frac {a}{y}
\]
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| \[
{} y^{\prime } = -\frac {5+8 x}{3 y^{2}+1}
\]
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| \[
{} y^{\prime } = -\frac {5+8 x}{3 y^{2}+1}
\]
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| \[
{} y^{\prime } = -\frac {5+8 x}{3 y^{2}+1}
\]
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| \[
{} y^{\prime } = -\frac {5+8 x}{3 y^{2}+1}
\]
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| \[
{} \left (2 y+2\right ) y^{\prime }-4 x^{3}-6 x = 0
\]
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| \[
{} y^{\prime } = \frac {x \left (1-x \right )}{\left (y-2\right ) y}
\]
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| \[
{} y^{\prime } = \frac {x \left (1-x \right )}{\left (y-2\right ) y}
\]
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| \[
{} y^{\prime } = 5 y
\]
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| \[
{} 2 y+y^{\prime } = 0
\]
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| \[
{} y^{\prime }+y = {\mathrm e}^{3 x}
\]
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| \[
{} 3 y^{\prime }+12 y = 4
\]
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| \[
{} y^{\prime }+3 x^{2} y = x^{2}
\]
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| \[
{} y^{\prime }+2 x y = x^{3}
\]
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| \[
{} x y+x^{2} y^{\prime } = 1
\]
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| \[
{} y^{\prime } = 2 y+x^{2}+5
\]
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| \[
{} x y^{\prime }-y = x^{2} \sin \left (x \right )
\]
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| \[
{} x y^{\prime }+2 y = 3
\]
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| \[
{} 4 y+x y^{\prime } = x^{3}-x
\]
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| \[
{} y^{\prime } \left (1+x \right )-x y = x^{2}+x
\]
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| \[
{} x^{2} y^{\prime }+x \left (x +2\right ) y = {\mathrm e}^{x}
\]
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| \[
{} x y^{\prime }+\left (1+x \right ) y = \sin \left (2 x \right ) {\mathrm e}^{-x}
\]
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| \[
{} y-4 \left (x +y^{6}\right ) y^{\prime } = 0
\]
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| \[
{} y = \left ({\mathrm e}^{y} y-2 x \right ) y^{\prime }
\]
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| \[
{} \cos \left (x \right ) y^{\prime }+\sin \left (x \right ) y = 1
\]
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| \[
{} \cos \left (x \right )^{2} \sin \left (x \right ) y^{\prime }+\cos \left (x \right )^{3} y = 1
\]
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| \[
{} y^{\prime } \left (1+x \right )+\left (x +2\right ) y = 2 x \,{\mathrm e}^{-x}
\]
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| \[
{} \left (x +2\right )^{2} y^{\prime } = 5-8 y-4 x y
\]
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| \[
{} r^{\prime }+r \sec \left (t \right ) = \cos \left (t \right )
\]
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| \[
{} p^{\prime }+2 t p = p+4 t -2
\]
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| \[
{} x y^{\prime }+\left (3 x +1\right ) y = {\mathrm e}^{-3 x}
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime }+2 y = \left (1+x \right )^{2}
\]
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| \[
{} y^{\prime } = x +5 y
\]
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| \[
{} y^{\prime } = 2 x -3 y
\]
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| \[
{} x y^{\prime }+y = {\mathrm e}^{x}
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| \[
{} y y^{\prime }-x = 2 y^{2}
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| \[
{} L i^{\prime }+R i = E
\]
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| \[
{} T^{\prime } = k \left (T-T_{m} \right )
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| \[
{} x y^{\prime }+y = 1+4 x
\]
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| \[
{} y^{\prime }+4 x y = x^{3} {\mathrm e}^{x^{2}}
\]
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| \[
{} y^{\prime } \left (1+x \right )+y = \ln \left (x \right )
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| \[
{} x \left (1+x \right ) y^{\prime }+x y = 1
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| \[
{} y^{\prime }-\sin \left (x \right ) y = 2 \sin \left (x \right )
\]
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| \[
{} y^{\prime }+y \tan \left (x \right ) = \cos \left (x \right )^{2}
\]
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| \[
{} 2 y+y^{\prime } = \left \{\begin {array}{cc} 1 & 0\le x \le 3 \\ 0 & 3<x \end {array}\right .
\]
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| \[
{} y^{\prime }+y = \left \{\begin {array}{cc} 1 & 0\le x \le 1 \\ -1 & 1<x \end {array}\right .
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| \[
{} y^{\prime }+2 x y = \left \{\begin {array}{cc} x & 0\le x <1 \\ 0 & 1\le x \end {array}\right .
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime }+2 x y = \left \{\begin {array}{cc} x & 0\le x <1 \\ -x & 1\le x \end {array}\right .
\]
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| \[
{} y^{\prime }+\left (\left \{\begin {array}{cc} 2 & 0\le x \le 1 \\ -\frac {2}{x} & 1<x \end {array}\right .\right ) y = 4 x
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| \[
{} y^{\prime }+\left (\left \{\begin {array}{cc} 1 & 0\le x \le 2 \\ 5 & 2<x \end {array}\right .\right ) y = 0
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| \[
{} y^{\prime }-2 x y = 1
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| \[
{} y^{\prime }-2 x y = -1
\]
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| \[
{} y^{\prime }+y \,{\mathrm e}^{x} = 1
\]
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| \[
{} x^{2} y^{\prime }-y = x^{3}
\]
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| \[
{} 2 x^{2} y+x^{3} y^{\prime } = 10 \sin \left (x \right )
\]
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| \[
{} y^{\prime }-\sin \left (x^{2}\right ) y = 0
\]
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| \[
{} 1 = \left (x +y^{2}\right ) y^{\prime }
\]
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| \[
{} y+\left (2 x +x y-3\right ) y^{\prime } = 0
\]
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| \[
{} x y^{\prime }-4 y = x^{6} {\mathrm e}^{x}
\]
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| \[
{} x y^{\prime }-4 y = x^{6} {\mathrm e}^{x}
\]
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| \[
{} x y^{\prime }-4 y = x^{6} {\mathrm e}^{x}
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| \[
{} [x^{\prime }\left (t \right ) = -\lambda _{1} x \left (t \right ), y^{\prime }\left (t \right ) = \lambda _{1} x \left (t \right )-\lambda _{2} y \left (t \right )]
\]
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| \[
{} e^{\prime } = -\frac {e}{r c}
\]
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| \[
{} 2 x -1+\left (3 y+7\right ) y^{\prime } = 0
\]
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| \[
{} \left (x^{2}-25\right ) y^{\prime \prime }+2 x y^{\prime }+y = 0
\]
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{} \left (x^{2}-25\right ) y^{\prime \prime }+2 x y^{\prime }+y = 0
\]
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{} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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{} \left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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| \[
{} y^{\prime \prime }-x y = 0
\]
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| \[
{} y^{\prime \prime }+x^{2} y = 0
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+y = 0
\]
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| \[
{} 2 y-x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+x^{2} y^{\prime }+x y = 0
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime } \left (1+x \right )-y = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }-6 y = 0
\]
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