8.1.1.117 FIRST Order Differential Equations

Condition: find a general solution to the differential equation of the first order and a private solution that satisfies the initial condition: \ (y = y_ {0} \) with \ (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 {. } \]