Differential Equations

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