The differential equation of the family of curves x2 + y2 – 2ay = 0, where a is arbitrary constant, is :

1
(x2 − y2\(\rm\frac{dy}{dx}\) = 2xy
2
2(x+ y2\(\rm\frac{dy}{dx}\) = xy
3
2(x2 − y2\(\rm\frac{dy}{dx}\) = xy
4
(x2 + y2\(\rm\frac{dy}{dx}\) = 2xy

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