Let y=y(x) be the solution of the differential equation (d y)/(d x)=(( tan x)+y)/(sin x( sec x- sin x tan x)), x ∈(0, (π)/2) satisfying the condition…

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