8.1.1.117 First order differential equations

condition: Find a general solution to the first order differential equation and a particular solution that satisfies the initial condition: \( y=y_{0} \) for \( x=x_{0} \). \[ y^{\prime}-y \sin x=e^{-\cos x} \sin 2 x, \quad y_{0}=3, \quad x_{0}=\frac{\pi}{2} \text {. } \]