The equation of the curve passing through the origin and satisfying the differential equation $\frac{dy}{dx} = (x-y)^2$, is :

Question

( A ) $e^{2x} (1-x+y) = (1+x+y)$
( B ) $e^{2x} (1+x+y) = (1-x+y)$
( C ) $e^{2x} (1+x-y) = (1-x+y)$
( D ) $e^{2x} (1-x+y) = (1+x-y)$