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The differential equation of all circles which pass through the origin and whose centres lie on y-axis is :
\( \mathrm{P} \)
(A) \( \left(x^{2}-y^{2}\right) \frac{d y}{d x}-2 x y=0 \)
(B) \( \left(x^{2}-y^{2}\right) \frac{d y}{d x}+2 x y=0 \)
W
(C) \( \quad\left(x^{2}-y^{2}\right) \frac{d y}{d x}-x y=0 \)
(D) \( \quad\left(x^{2}-y^{2}\right) \frac{d y}{d x}+x y=0 \)
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