| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime } = \sqrt {1+y^{2}}\, \sin \left (y\right )^{2}
\]
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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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| \[
{} y^{\prime } = \sqrt {\frac {1-y^{2}}{-x^{2}+1}}
\]
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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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| \[
{} y^{\prime } = -\frac {5+8 x}{3 y^{2}+1}
\]
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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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| \[
{} e^{\prime } = -\frac {e}{r c}
\]
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| \[
{} 2 x -1+\left (3 y+7\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime }+\frac {26 y}{5} = \frac {97 \sin \left (2 t \right )}{5}
\]
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| \[
{} y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime }-6 y = 0
\]
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| \[
{} y^{\prime } = \frac {x^{2}}{y}
\]
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| \[
{} y^{\prime } = \frac {x^{2}}{\left (x^{3}+1\right ) y}
\]
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| \[
{} y^{\prime } = \sin \left (x \right ) y
\]
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| \[
{} x y^{\prime } = \sqrt {1-y^{2}}
\]
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| \[
{} y^{\prime } = \frac {x^{2}}{1+y^{2}}
\]
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| \[
{} y y^{\prime } x = \sqrt {1+y^{2}}
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime }+2 x y^{2} = 0
\]
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| \[
{} y^{\prime } = 3 y^{{2}/{3}}
\]
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| \[
{} x y^{\prime }+y = y^{2}
\]
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| \[
{} 2 x^{2} y y^{\prime }+y^{2} = 2
\]
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| \[
{} y^{\prime }-x y^{2} = 2 x y
\]
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| \[
{} \left (1+z^{\prime }\right ) {\mathrm e}^{-z} = 1
\]
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| \[
{} y^{\prime } = \frac {3 x^{2}+4 x +2}{-2+2 y}
\]
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| \[
{} {\mathrm e}^{x}-\left ({\mathrm e}^{x}+1\right ) y y^{\prime } = 0
\]
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| \[
{} \frac {y}{x -1}+\frac {x y^{\prime }}{1+y} = 0
\]
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| \[
{} x +2 x^{3}+\left (2 y^{3}+y\right ) y^{\prime } = 0
\]
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| \[
{} \frac {1}{\sqrt {x}}+\frac {y^{\prime }}{\sqrt {y}} = 0
\]
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| \[
{} \frac {1}{\sqrt {-x^{2}+1}}+\frac {y^{\prime }}{\sqrt {1-y^{2}}} = 0
\]
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| \[
{} 2 x \sqrt {1-y^{2}}+y y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \left (y-1\right ) \left (1+x \right )
\]
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| \[
{} y^{\prime } = {\mathrm e}^{x -y}
\]
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| \[
{} y^{\prime } = \frac {\sqrt {y}}{\sqrt {x}}
\]
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| \[
{} y^{\prime } = \frac {\sqrt {y}}{x}
\]
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| \[
{} z^{\prime } = 10^{x +z}
\]
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| \[
{} x^{\prime }+t = 1
\]
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| \[
{} y^{\prime } = \cos \left (x -y\right )
\]
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| \[
{} y^{\prime }-y = 2 x -3
\]
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| \[
{} \left (2 y+x \right ) y^{\prime } = 1
\]
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