\text { Here, } y^{\prime} \equiv \frac{d y}{d x} \text { and } y^{\prime \prime} \equiv \frac{d^{2} y}{d x^{2}} \text {. } y^{\prime}+y \cos (x)=\sin (2 x) 1. Find the solution of the first order linear ordinary differential equation given y(0) = -6. Hint: Use Integration by parts and the formula sin(2x) = 2 sin(x) cos(x).