6(a) A differential equation is given as yl cos x = y sin x + sin 2x. (i) Show that the general solution of the differential equation is secx- cos x + C secx. (ii) Hence, or otherwise, solve the initial value problem y cos x = y sin x + sin 2x, y(0) = 0. (b) A differential equation is given as yll + 2y + y = xex. (i) Determine the solution of the complimentary equation yll + 2y + y = 0. (ii) Given that the particular solution of a differential equation has the form Yp = (Ax³ + Bx2)ex, or otherwise, determine the general solution of the differential equation.