Let y=y(x) be the solution of the differential equation 2 cos x (d y)/(d x)= sin 2 x-4 y sin x, x ∈(0, (π)/2). If y((π)/3)=0, then…

Let $\displaystyle y=y(x)$ be the solution of the differential equation $\displaystyle 2 \cos x \frac{\mathrm{~d} y}{\mathrm{~d} x}=\sin 2 x-4 y \sin x, x \in\left(0, \frac{\pi}{2}\right)$. If $\displaystyle y\left(\frac{\pi}{3}\right)=0$, then $\displaystyle y^{\prime}\left(\frac{\pi}{4}\right)+y\left(\frac{\pi}{4}\right)$ is equal to $\displaystyle \_\_\_\_$.