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Mathematica |
Maple |
Sympy |
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\[
{} 2 x y+\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )+{\mathrm e}^{-y}-\left (x \,{\mathrm e}^{-y}-{\mathrm e}^{x} \cos \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} \cos \left (y\right )-\left (x \sin \left (y\right )-y^{2}\right ) y^{\prime } = 0
\]
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\[
{} x -2 x y+{\mathrm e}^{y}+\left (y-x^{2}+x \,{\mathrm e}^{y}\right ) y^{\prime } = 0
\]
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\[
{} x^{2}-x +y^{2}-\left ({\mathrm e}^{y}-2 x y\right ) y^{\prime } = 0
\]
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\[
{} 2 x +\cos \left (x \right ) y+\left (2 y+\sin \left (x \right )-\sin \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} x \sqrt {x^{2}+y^{2}}-\frac {x^{2} y y^{\prime }}{y-\sqrt {x^{2}+y^{2}}} = 0
\]
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\[
{} 4 x^{3}-\sin \left (x \right )+y^{3}-\left (y^{2}+1-3 x y^{2}\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{x} \left (y^{3}+x y^{3}+1\right )+3 y^{2} \left (x \,{\mathrm e}^{x}-6\right ) y^{\prime } = 0
\]
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\[
{} \sin \left (x \right ) \cos \left (y\right )+\cos \left (x \right ) \sin \left (y\right ) y^{\prime } = 0
\]
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\[
{} y^{2} {\mathrm e}^{x y^{2}}+4 x^{3}+\left (2 x y \,{\mathrm e}^{x y^{2}}-3 y^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{2}+y-x y^{\prime } = 0
\]
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\[
{} y \sec \left (x \right )+\sin \left (x \right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{x}-\sin \left (y\right )+\cos \left (y\right ) y^{\prime } = 0
\]
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\[
{} x y+\left (x^{2}+1\right ) y^{\prime } = 0
\]
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\[
{} y^{3}+x y^{2}+y+\left (x^{3}+x^{2} y+x \right ) y^{\prime } = 0
\]
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\[
{} 3 y-x y^{\prime } = 0
\]
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\[
{} y-3 x y^{\prime } = 0
\]
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\[
{} y \left (2 x^{2} y^{3}+3\right )+x \left (x^{2} y^{3}-1\right ) y^{\prime } = 0
\]
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\[
{} 2 x y+x^{2}+\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} x^{2}+\cos \left (x \right ) y+\left (y^{3}+\sin \left (x \right )\right ) y^{\prime } = 0
\]
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\[
{} x^{2}+y^{2}+x +x y y^{\prime } = 0
\]
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\[
{} x -2 x y+{\mathrm e}^{y}+\left (y-x^{2}+x \,{\mathrm e}^{y}\right ) y^{\prime } = 0
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )+{\mathrm e}^{-y}-\left (x \,{\mathrm e}^{-y}-{\mathrm e}^{x} \cos \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} x^{2}-y^{2}-y-\left (x^{2}-y^{2}-x \right ) y^{\prime } = 0
\]
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\[
{} x^{4} y^{2}-y+\left (y^{4} x^{2}-x \right ) y^{\prime } = 0
\]
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\[
{} y \left (2 x +y^{3}\right )-x \left (2 x -y^{3}\right ) y^{\prime } = 0
\]
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\[
{} \arctan \left (x y\right )+\frac {x y-2 x y^{2}}{1+x^{2} y^{2}}+\frac {\left (x^{2}-2 x^{2} y\right ) y^{\prime }}{1+x^{2} y^{2}} = 0
\]
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\[
{} \left (1+x \right ) {\mathrm e}^{x}+\left (y \,{\mathrm e}^{y}-x \,{\mathrm e}^{x}\right ) y^{\prime } = 0
\]
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\[
{} \frac {1+x y}{y}+\frac {\left (2 y-x \right ) y^{\prime }}{y^{2}} = 0
\]
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\[
{} y^{2}-3 x y-2 x^{2}+\left (x y-x^{2}\right ) y^{\prime } = 0
\]
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\[
{} y \left (1+2 x +y\right )-x \left (x +2 y-1\right ) y^{\prime } = 0
\]
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\[
{} y \left (2 x -y-1\right )+x \left (2 y-x -1\right ) y^{\prime } = 0
\]
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\[
{} y^{2}+12 x^{2} y+\left (2 x y+4 x^{3}\right ) y^{\prime } = 0
\]
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\[
{} 3 \left (x +y\right )^{2}+x \left (2 x +3 y\right ) y^{\prime } = 0
\]
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\[
{} y-\left (y^{2}+x^{2}+x \right ) y^{\prime } = 0
\]
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\[
{} 2 x y+\left (a +x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} 2 x y+x^{2}+b +\left (a +x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} x y^{\prime }+y = x^{3}
\]
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\[
{} y^{\prime }+a y = b
\]
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\[
{} x y^{\prime }+y = y^{2} \ln \left (x \right )
\]
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\[
{} x^{\prime }+2 y x = {\mathrm e}^{-y^{2}}
\]
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\[
{} r^{\prime } = \left (r+{\mathrm e}^{-\theta }\right ) \tan \left (\theta \right )
\]
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\[
{} y^{\prime }-\frac {2 x y}{x^{2}+1} = 1
\]
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\[
{} y^{\prime }+y = x y^{3}
\]
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\[
{} \left (-x^{3}+1\right ) y^{\prime }-2 \left (1+x \right ) y = y^{{5}/{2}}
\]
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\[
{} \tan \left (\theta \right ) r^{\prime }-r = \tan \left (\theta \right )^{2}
\]
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\[
{} y^{\prime }+2 y = 3 \,{\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime }+2 y = \frac {3 \,{\mathrm e}^{-2 x}}{4}
\]
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\[
{} y^{\prime }+2 y = \sin \left (x \right )
\]
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\[
{} y^{\prime }+\cos \left (x \right ) y = {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime }+\cos \left (x \right ) y = \frac {\sin \left (2 x \right )}{2}
\]
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\[
{} x y^{\prime }+y = x \sin \left (x \right )
\]
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\[
{} x y^{\prime }-y = x^{2} \sin \left (x \right )
\]
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\[
{} x y^{\prime }+x y^{2}-y = 0
\]
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\[
{} x y^{\prime }-y \left (-1+2 y \ln \left (x \right )\right ) = 0
\]
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\[
{} x^{2} \left (x -1\right ) y^{\prime }-y^{2}-x \left (x -2\right ) y = 0
\]
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\[
{} y^{\prime }-y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime }+\frac {y}{x} = \frac {y^{2}}{x}
\]
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\[
{} 2 \cos \left (x \right ) y^{\prime } = y \sin \left (x \right )-y^{3}
\]
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\[
{} \left (x -\cos \left (y\right )\right ) y^{\prime }+\tan \left (y\right ) = 0
\]
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\[
{} y^{\prime } = x^{3}+\frac {2 y}{x}-\frac {y^{2}}{x}
\]
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\[
{} y^{\prime } = 2 \tan \left (x \right ) \sec \left (x \right )-y^{2} \sin \left (x \right )
\]
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\[
{} y^{\prime } = \frac {1}{x^{2}}-\frac {y}{x}-y^{2}
\]
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\[
{} y^{\prime } = 1+\frac {y}{x}-\frac {y^{2}}{x^{2}}
\]
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\[
{} 2 x y y^{\prime }+\left (1+x \right ) y^{2} = {\mathrm e}^{x}
\]
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\[
{} \cos \left (y\right ) y^{\prime }+\sin \left (y\right ) = x^{2}
\]
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\[
{} \left (1+x \right ) y^{\prime }-y-1 = \left (1+x \right ) \sqrt {y+1}
\]
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\[
{} {\mathrm e}^{y} \left (1+y^{\prime }\right ) = {\mathrm e}^{x}
\]
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\[
{} y^{\prime } \sin \left (y\right )+\sin \left (x \right ) \cos \left (y\right ) = \sin \left (x \right )
\]
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\[
{} \left (x -y\right )^{2} y^{\prime } = 4
\]
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\[
{} x y^{\prime }-y = \sqrt {x^{2}+y^{2}}
\]
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\[
{} \left (3 x +2 y+1\right ) y^{\prime }+4 x +3 y+2 = 0
\]
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\[
{} \left (x^{2}-y^{2}\right ) y^{\prime } = 2 x y
\]
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\[
{} y+\left (1+y^{2} {\mathrm e}^{2 x}\right ) y^{\prime } = 0
\]
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\[
{} x^{2} y+y^{2}+x^{3} y^{\prime } = 0
\]
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\[
{} y^{2} {\mathrm e}^{x y^{2}}+4 x^{3}+\left (2 x y \,{\mathrm e}^{x y^{2}}-3 y^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = \left (x^{2}+2 y-1\right )^{{2}/{3}}-x
\]
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\[
{} x y^{\prime }+y = x^{2} \left (1+{\mathrm e}^{x}\right ) y^{2}
\]
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\[
{} 2 y-x y \ln \left (x \right )-2 x \ln \left (x \right ) y^{\prime } = 0
\]
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\[
{} y^{\prime }+a y = k \,{\mathrm e}^{b x}
\]
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\[
{} y^{\prime } = \left (x +y\right )^{2}
\]
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\[
{} y^{\prime }+8 x^{3} y^{3}+2 x y = 0
\]
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\[
{} \left (x y \sqrt {x^{2}-y^{2}}+x \right ) y^{\prime } = y-x^{2} \sqrt {x^{2}-y^{2}}
\]
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\[
{} y^{\prime }+a y = b \sin \left (k x \right )
\]
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\[
{} x y^{\prime }-y^{2}+1 = 0
\]
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\[
{} \left (y^{2}+a \sin \left (x \right )\right ) y^{\prime } = \cos \left (x \right )
\]
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\[
{} x y^{\prime } = x \,{\mathrm e}^{\frac {y}{x}}+x +y
\]
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\[
{} y^{\prime }+\cos \left (x \right ) y = {\mathrm e}^{-\sin \left (x \right )}
\]
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\[
{} x y^{\prime }-y \left (\ln \left (x y\right )-1\right ) = 0
\]
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\[
{} x^{3} y^{\prime }-y^{2}-x^{2} y = 0
\]
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\[
{} x y^{\prime }+a y+b \,x^{n} = 0
\]
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\[
{} x y^{\prime }-y-x \sin \left (\frac {y}{x}\right ) = 0
\]
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\[
{} y^{2}-3 x y-2 x^{2}+\left (x y-x^{2}\right ) y^{\prime } = 0
\]
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\[
{} \left (6 x y+x^{2}+3\right ) y^{\prime }+3 y^{2}+2 x y+2 x = 0
\]
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\[
{} x^{2} y^{\prime }+y^{2}+x y+x^{2} = 0
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime }+2 x y-\cos \left (x \right ) = 0
\]
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\[
{} \left (x^{2} y-1\right ) y^{\prime }+x y^{2}-1 = 0
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime }+x y-3 x y^{2} = 0
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime }-2 x y \ln \left (y\right ) = 0
\]
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