Let y=y(x) be a solution of the differential equation (x cos x) d y+(x y sin x+y cos x-1) d x=0,0<x<(π)/2. If (π)/3 y((π)/3)=√ 3, then |(π)/6 y^′…

Let $\displaystyle y=y(x)$ be a solution of the differential equation $\displaystyle (x \cos x) d y+(x y \sin x+y \cos x-1) d x=0,0<x<\frac{\pi}{2}$. If $\displaystyle \frac{\pi}{3} y\left(\frac{\pi}{3}\right)=\sqrt{3}$, then $\displaystyle \left|\frac{\pi}{6} y^{\prime \prime}\left(\frac{\pi}{6}\right)+2 y^{\prime}\left(\frac{\pi}{6}\right)\right|$ is equal to $\displaystyle \_\_\_\_$