The differential equation of the family of curves represented by the e

1.	The differential equation of the family of curves represented by the equation \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] is
A.	\[x+y\frac{dy}{dx}=0\]
B.	\[y\frac{dy}{dx}=x\]
C.	\[y\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}=0\]
D.	None of these
Answer» B. \[y\frac{dy}{dx}=x\]

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The differential equation of the family of curves represented by the equation \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] is

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