The differential equation of all circles which passes through the origin and whose centre lies on y-axis, is [MNR 1986; DCE 2000]

\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}+2xy=0\]

\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}-2xy=0\]

\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}-xy=0\]

\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}+xy=0\]

The differential equation of all circles which passes through the orig

1.	The differential equation of all circles which passes through the origin and whose centre lies on y-axis, is [MNR 1986; DCE 2000]
A.	\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}-2xy=0\]
B.	\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}+2xy=0\]
C.	\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}-xy=0\]
D.	\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}+xy=0\]
Answer» B. \[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}+2xy=0\]

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The differential equation of all circles which passes through the origin and whose centre lies on y-axis, is [MNR 1986; DCE 2000]

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