The general solution of the differential equation , $\;sin 2x (\large\frac{dy}{dx} - \sqrt{tanx})-y=0 \;$, is :

Question

$(a)\;y \sqrt{tanx} = x+c \qquad(b)\;y \sqrt{cotx} = tanx+c\qquad(c)\;y \sqrt{tanx} = cotx+c\qquad(d)\;y \sqrt{cotx} = x+c$