The differential equation of the family of circles passing through the origin and having their centers on the x-axis is

Question

$x^2 = y^2 + 3xy \frac{dy}{dx}$

$y^2 = x^2 + 2xy \frac{dy}{dx}$

$y^2 = x^2 - 2xy \frac{dy}{dx}$

$x^2 = y^2 + xy \frac{dy}{dx}$

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