Mathematics

Problem

The general solution of the differential equation,

\sin 2x \left( \frac{dy}{dx} - \sqrt{\tan x} \right) - y = 0

, is : [JEE-MAIN ONLINE] (1)

y\sqrt{\tan x} = \cot x + c

(2)

y\sqrt{\cot x} = x + c

(3)

y\sqrt{\tan x} = x + c

(4)

y\sqrt{\cot x} = \tan x + c