Linear differential equationsHard

Linear Differential Equation Value

Let y = y(x) be the solution of the differential equation 2 cosx $\frac{{dy}}{{dx}}$ = sin 2x – 4y sinx, $x \in \left( {0,\;\frac{\pi }{2}} \right)$ . If $y\left( {\frac{\pi }{3}} \right) = 0$ , then $y'\left( {\frac{\pi }{4}} \right) + y\left( {\frac{\pi }{4}} \right)$ is equal to ____.

Ask about this question