Let \(y=y(x)\) be the solution of the differential equation \(\cos x \frac{d y}{d x}+2 y \sin x=\sin 2 x, x \in\left(0, …

Let \(y=y(x)\) be the solution of the differential equation \(\cos x \frac{d y}{d x}+2 y \sin x=\sin 2 x, x \in\left(0, \frac{\pi}{2}\right)\). If \(y(\frac{\pi} { 3})=0\), then \(y(\frac{\pi} { 4})\) is equal to:

[JEE Main 2020, 5 Sep (Shift 2)]