Question 7 Solve the initial value problem: +6 6 dy + 18y = cost — sint, y(0) = 0, y' (0) = 2 - 23 325 cost +973 sin t) e-3t.

cost - 32 sint 23 325 (-3 cos 3t - 59 sin 3t) e−³ + 23 325 23 325 Cos 3t+ 23 325 59 sin 3t) e-³t+ 23 325 O(-32 cost +593 sint) e-³t - + 23 325 11 cost + 2 sint cost 11 325 sin t cost-sint