The equation of the curve that passes through the point \[(1,\,2)\] and satisfies the differential equation \[\frac{dy}{dx}=\frac{-2xy}{({{x}^{2}}+1)}\]is

The equation of the curve that passes through the point \[(1,\,2)\] an

1.	The equation of the curve that passes through the point \[(1,\,2)\] and satisfies the differential equation \[\frac{dy}{dx}=\frac{-2xy}{({{x}^{2}}+1)}\]is
A.	\[y({{x}^{2}}+1)=4\]
B.	\[y({{x}^{2}}+1)+4=0\]
C.	\[y({{x}^{2}}-1)=4\]
D.	None of these
Answer» B. \[y({{x}^{2}}+1)+4=0\]

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The equation of the curve that passes through the point \[(1,\,2)\] and satisfies the differential equation \[\frac{dy}{dx}=\frac{-2xy}{({{x}^{2}}+1)}\]is

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