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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} \frac {y^{\prime }}{\theta } = \frac {y \sin \left (\theta \right )}{y^{2}+1}
\]
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\[
{} x^{2}+2 y y^{\prime } = 0
\]
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\[
{} y^{\prime } = 2 t \cos \left (y\right )^{2}
\]
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\[
{} y^{\prime } = 8 x^{3} {\mathrm e}^{-2 y}
\]
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\[
{} y^{\prime } = x^{2} \left (y+1\right )
\]
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\[
{} \sqrt {y}+\left (1+x \right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = {\mathrm e}^{x^{2}}
\]
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\[
{} y^{\prime } = \frac {{\mathrm e}^{x^{2}}}{y^{2}}
\]
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\[
{} y^{\prime } = \sqrt {\sin \left (x \right )+1}\, \left (1+y^{2}\right )
\]
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\[
{} y^{\prime } = 2 y-2 t y
\]
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\[
{} y^{\prime } = y^{{1}/{3}}
\]
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\[
{} y^{\prime } = y^{{1}/{3}}
\]
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\[
{} y^{\prime } = \left (x -3\right ) \left (y+1\right )^{{2}/{3}}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = x y^{3}
\]
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\[
{} y^{\prime } = y^{2}-3 y+2
\]
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\[
{} x^{2} y^{\prime }+\sin \left (x \right )-y = 0
\]
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\[
{} x^{\prime }+t x = {\mathrm e}^{x}
\]
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\[
{} \left (t^{2}+1\right ) y^{\prime } = t y-y
\]
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\[
{} 3 t = {\mathrm e}^{t} y^{\prime }+y \ln \left (t \right )
\]
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\[
{} x x^{\prime }+x t^{2} = \sin \left (t \right )
\]
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\[
{} 3 r = r^{\prime }-\theta ^{3}
\]
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\[
{} y^{\prime }-y-{\mathrm e}^{3 x} = 0
\]
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\[
{} y^{\prime } = \frac {y}{x}+2 x +1
\]
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\[
{} r^{\prime }+r \tan \left (\theta \right ) = \sec \left (\theta \right )
\]
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\[
{} x y^{\prime }+2 y = \frac {1}{x^{3}}
\]
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\[
{} t +y+1-y^{\prime } = 0
\]
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\[
{} y^{\prime } = x^{2} {\mathrm e}^{-4 x}-4 y
\]
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\[
{} y x^{\prime }+2 x = 5 y^{3}
\]
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\[
{} x y^{\prime }+3 y+3 x^{2} = \frac {\sin \left (x \right )}{x}
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime }+x y-x = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime }-x^{2} y = \left (1+x \right ) \sqrt {-x^{2}+1}
\]
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\[
{} y^{\prime }-\frac {y}{x} = x \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime }+4 y-{\mathrm e}^{-x} = 0
\]
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\[
{} t^{2} x^{\prime }+3 t x = t^{4} \ln \left (t \right )+1
\]
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\[
{} y^{\prime }+\frac {3 y}{x}+2 = 3 x
\]
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\[
{} \cos \left (x \right ) y^{\prime }+y \sin \left (x \right ) = 2 x \cos \left (x \right )^{2}
\]
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\[
{} \sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y = x \sin \left (x \right )
\]
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\[
{} y^{\prime }+y \sqrt {1+\sin \left (x \right )^{2}} = x
\]
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\[
{} \left ({\mathrm e}^{4 y}+2 x \right ) y^{\prime }-1 = 0
\]
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\[
{} y^{\prime }+2 y = \frac {x}{y^{2}}
\]
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\[
{} y^{\prime }+\frac {3 y}{x} = x^{2}
\]
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\[
{} x^{\prime } = \alpha -\beta \cos \left (\frac {\pi t}{12}\right )-k x
\]
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\[
{} u^{\prime } = \alpha \left (1-u\right )-\beta u
\]
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\[
{} x^{2} y+x^{4} \cos \left (x \right )-x^{3} y^{\prime } = 0
\]
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\[
{} x^{{10}/{3}}-2 y+x y^{\prime } = 0
\]
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\[
{} \sqrt {-2 y-y^{2}}+\left (-x^{2}+2 x +3\right ) y^{\prime } = 0
\]
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\[
{} y \,{\mathrm e}^{x y}+2 x +\left (x \,{\mathrm e}^{x y}-2 y\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime }+x y = 0
\]
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\[
{} y^{2}+\left (2 x y+\cos \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} 2 x +y \cos \left (x y\right )+\left (x \cos \left (x y\right )-2 y\right ) y^{\prime } = 0
\]
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\[
{} \theta r^{\prime }+3 r-\theta -1 = 0
\]
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\[
{} 2 x y+3+\left (x^{2}-1\right ) y^{\prime } = 0
\]
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\[
{} 2 x +y+\left (x -2 y\right ) y^{\prime } = 0
\]
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\[
{} \cos \left (x \right ) \cos \left (y\right )+2 x -\left (\sin \left (x \right ) \sin \left (y\right )+2 y\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{t} \left (y-t \right )+\left (1+{\mathrm e}^{t}\right ) y^{\prime } = 0
\]
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\[
{} \frac {t y^{\prime }}{y}+1+\ln \left (y\right ) = 0
\]
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\[
{} \cos \left (\theta \right ) r^{\prime }-r \sin \left (\theta \right )+{\mathrm e}^{\theta } = 0
\]
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\[
{} y \,{\mathrm e}^{x y}-\frac {1}{y}+\left (x \,{\mathrm e}^{x y}+\frac {x}{y^{2}}\right ) y^{\prime } = 0
\]
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\[
{} \frac {1}{y}-\left (3 y-\frac {x}{y^{2}}\right ) y^{\prime } = 0
\]
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\[
{} 2 x +y^{2}-\cos \left (x +y\right )+\left (2 x y-\cos \left (x +y\right )-{\mathrm e}^{y}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {{\mathrm e}^{x +y}}{-1+y}
\]
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\[
{} y^{\prime }-4 y = 32 x^{2}
\]
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\[
{} \left (x^{2}-\frac {2}{y^{3}}\right ) y^{\prime }+2 x y-3 x^{2} = 0
\]
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\[
{} y^{\prime }+\frac {3 y}{x} = x^{2}-4 x +3
\]
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\[
{} 2 x y^{3}-\left (-x^{2}+1\right ) y^{\prime } = 0
\]
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\[
{} t^{3} y^{2}+\frac {t^{4} y^{\prime }}{y^{6}} = 0
\]
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\[
{} y^{\prime }-y = {\mathrm e}^{2 x}
\]
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\[
{} x^{2} y^{\prime }+2 x y-x +1 = 0
\]
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\[
{} y^{\prime }+y = \left (1+x \right )^{2}
\]
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\[
{} x^{2} y^{\prime }+2 x y = \sinh \left (x \right )
\]
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\[
{} y^{\prime }+\frac {y}{1-x}+2 x -x^{2} = 0
\]
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\[
{} y^{\prime }+\frac {y}{1-x}+x -x^{2} = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime } = 1+x y
\]
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\[
{} y^{\prime }+x y = x y^{2}
\]
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\[
{} 3 x y^{\prime }+y+x^{2} y^{4} = 0
\]
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\[
{} y^{\prime }-\frac {2 y}{x}-x^{2} = 0
\]
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\[
{} y^{\prime }+\frac {2 y}{x}-x^{3} = 0
\]
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\[
{} x y^{\prime } = x^{2}+2 x -3
\]
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\[
{} \left (1+x \right )^{2} y^{\prime } = 1+y^{2}
\]
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\[
{} y^{\prime }+2 y = {\mathrm e}^{3 x}
\]
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\[
{} x y^{\prime }-y = x^{2}
\]
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\[
{} x^{2} y^{\prime } = x^{3} \sin \left (3 x \right )+4
\]
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\[
{} x \cos \left (y\right ) y^{\prime }-\sin \left (y\right ) = 0
\]
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\[
{} \left (x^{3}+x y^{2}\right ) y^{\prime } = 2 y^{3}
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime }+2 x y = x
\]
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\[
{} y^{\prime }+y \tanh \left (x \right ) = 2 \sinh \left (x \right )
\]
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\[
{} x y^{\prime }-2 y = \cos \left (x \right ) x^{3}
\]
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\[
{} y^{\prime }+\frac {y}{x} = y^{3}
\]
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\[
{} x y^{\prime }+3 y = x^{2} y^{2}
\]
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\[
{} x \left (-3+y\right ) y^{\prime } = 4 y
\]
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\[
{} \left (x^{3}+1\right ) y^{\prime } = x^{2} y
\]
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\[
{} x^{3}+\left (y+1\right )^{2} y^{\prime } = 0
\]
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\[
{} \cos \left (y\right )+\left (1+{\mathrm e}^{-x}\right ) \sin \left (y\right ) y^{\prime } = 0
\]
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\[
{} x^{2} \left (y+1\right )+y^{2} \left (x -1\right ) y^{\prime } = 0
\]
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\[
{} \left (2 y-x \right ) y^{\prime } = y+2 x
\]
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\[
{} x y+y^{2}+\left (x^{2}-x y\right ) y^{\prime } = 0
\]
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\[
{} x^{3}+y^{3} = 3 x y^{2} y^{\prime }
\]
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