Let $y=y(x)$ be the solution of the differential equation $\displaystyle \frac{dy}{dx}=\frac{\tan x + y}{\sin x}$, $x\in\left(0,\frac{\pi}{2}\right)$, satisfying $y\!\left(\frac{\pi}{4}\right)=2$. Then $y\!\left(\frac{\pi}{3}\right)$ is: