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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} y^{\prime } = \frac {2 y}{\pi }-\sin \left (y\right )
\]
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\[
{} y^{\prime } = y^{2}-y-6
\]
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\[
{} m v^{\prime } = m g -k v^{2}
\]
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\[
{} y^{\prime } = \sin \left (5 x \right )
\]
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\[
{} y^{\prime } = \left (1+x \right )^{2}
\]
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\[
{} 1+{\mathrm e}^{3 x} y^{\prime } = 0
\]
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\[
{} y^{\prime }-\left (-1+y\right )^{2} = 0
\]
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\[
{} x y^{\prime } = 4 y
\]
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\[
{} y^{\prime }+2 x y^{2} = 0
\]
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\[
{} y^{\prime } = {\mathrm e}^{2 y+3 x}
\]
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\[
{} {\mathrm e}^{x} y y^{\prime } = {\mathrm e}^{-y}+{\mathrm e}^{-2 x -y}
\]
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\[
{} y \ln \left (x \right ) y^{\prime } = \frac {\left (y+1\right )^{2}}{x^{2}}
\]
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\[
{} y^{\prime } = \frac {\left (2 y+3\right )^{2}}{\left (4 x +5\right )^{2}}
\]
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\[
{} \csc \left (y\right )+\sec \left (x \right )^{2} y^{\prime } = 0
\]
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\[
{} \sin \left (3 x \right )+2 y \cos \left (3 x \right )^{3} y^{\prime } = 0
\]
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\[
{} \left (1+{\mathrm e}^{y}\right )^{2} {\mathrm e}^{-y}+\left (1+{\mathrm e}^{x}\right )^{3} {\mathrm e}^{-x} y^{\prime } = 0
\]
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\[
{} x \sqrt {1+y^{2}} = y \sqrt {x^{2}+1}\, y^{\prime }
\]
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\[
{} s^{\prime } = k s
\]
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\[
{} q^{\prime } = k \left (q-70\right )
\]
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\[
{} p^{\prime } = p-p^{2}
\]
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\[
{} n^{\prime }+n = n t \,{\mathrm e}^{t +2}
\]
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\[
{} y^{\prime } = \frac {x y+3 x -y-3}{x y-2 x +4 y-8}
\]
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\[
{} y^{\prime } = \frac {x y+2 y-x -2}{x y-3 y+x -3}
\]
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\[
{} y^{\prime } = x \sqrt {1-y^{2}}
\]
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\[
{} \left ({\mathrm e}^{x}+{\mathrm e}^{-x}\right ) y^{\prime } = y^{2}
\]
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\[
{} x^{\prime } = 4 x^{2}+4
\]
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\[
{} y^{\prime } = \frac {-1+y^{2}}{x^{2}-1}
\]
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\[
{} x^{2} y^{\prime } = y-x y
\]
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\[
{} y^{\prime }+2 y = 1
\]
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\[
{} \sqrt {1-y^{2}}-\sqrt {-x^{2}+1}\, y^{\prime } = 0
\]
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\[
{} \left (x^{4}+1\right ) y^{\prime }+x \left (1+4 y^{2}\right ) = 0
\]
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\[
{} y^{\prime } = -y \ln \left (y\right )
\]
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\[
{} x \sinh \left (y\right ) y^{\prime } = \cosh \left (y\right )
\]
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\[
{} y^{\prime } = y \,{\mathrm e}^{-x^{2}}
\]
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\[
{} y^{\prime } = y^{2} \sin \left (x^{2}\right )
\]
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\[
{} y^{\prime } = \left (1+y^{2}\right ) \sqrt {1+\cos \left (x^{3}\right )}
\]
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\[
{} y^{\prime } = \frac {{\mathrm e}^{-2 y} \sin \left (x \right )}{x^{2}+1}
\]
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\[
{} y^{\prime } = \frac {3 x +1}{2 y}
\]
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\[
{} \left (2 y-2\right ) y^{\prime } = 3 x^{2}+4 x +2
\]
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\[
{} {\mathrm e}^{y}-{\mathrm e}^{-x} y^{\prime } = 0
\]
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\[
{} \sin \left (x \right )+y y^{\prime } = 0
\]
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\[
{} y^{\prime } = y^{2}-4
\]
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\[
{} y^{\prime } = y^{2}-4
\]
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\[
{} y^{\prime } = y^{2}-4
\]
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\[
{} x y^{\prime } = y^{2}-y
\]
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\[
{} x y^{\prime } = y^{2}-y
\]
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\[
{} x y^{\prime } = y^{2}-y
\]
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\[
{} x y^{\prime } = y^{2}-y
\]
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\[
{} 2 x \sin \left (y\right )^{2}-\left (x^{2}+10\right ) \cos \left (y\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = \left (-1+y\right )^{2}
\]
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\[
{} y^{\prime } = \left (-1+y\right )^{2}
\]
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\[
{} y^{\prime } = \left (-1+y\right )^{2}+\frac {1}{100}
\]
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\[
{} y^{\prime } = \left (-1+y\right )^{2}-\frac {1}{100}
\]
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\[
{} y^{\prime } = y-y^{3}
\]
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\[
{} y^{\prime } = y-y^{3}
\]
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\[
{} y^{\prime } = y-y^{3}
\]
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\[
{} y^{\prime } = y-y^{3}
\]
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\[
{} y^{\prime } = \frac {1}{-3+y}
\]
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\[
{} y^{\prime } = \frac {1}{-3+y}
\]
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\[
{} y^{\prime } = \frac {1}{-3+y}
\]
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\[
{} y^{\prime } = \frac {1}{-3+y}
\]
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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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\[
{} y^{2}+{y^{\prime }}^{2} = 1
\]
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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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\[
{} y^{\prime } = -\frac {8 x +5}{3 y^{2}+1}
\]
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\[
{} y^{\prime } = -\frac {8 x +5}{3 y^{2}+1}
\]
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\[
{} y^{\prime } = -\frac {8 x +5}{3 y^{2}+1}
\]
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\[
{} y^{\prime } = -\frac {8 x +5}{3 y^{2}+1}
\]
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\[
{} \left (2 y+2\right ) y^{\prime }-4 x^{3}-6 x = 0
\]
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\[
{} y^{\prime } = \frac {x \left (1-x \right )}{y \left (y-2\right )}
\]
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\[
{} y^{\prime } = \frac {x \left (1-x \right )}{y \left (y-2\right )}
\]
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\[
{} y^{\prime } = 5 y
\]
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\[
{} y^{\prime }+2 y = 0
\]
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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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\[
{} x^{2} y^{\prime }+x y = 1
\]
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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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\[
{} x y^{\prime }+4 y = x^{3}-x
\]
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\[
{} \left (1+x \right ) y^{\prime }-x y = x^{2}+x
\]
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\[
{} x^{2} y^{\prime }+x \left (x +2\right ) y = {\mathrm e}^{x}
\]
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\[
{} x y^{\prime }+\left (1+x \right ) y = {\mathrm e}^{-x} \sin \left (2 x \right )
\]
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\[
{} y-4 \left (x +y^{6}\right ) y^{\prime } = 0
\]
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