Find the solution of the given initial value problem. y" + 4y = sint – uza(1)sin(t – 27), y(0) = 6, y (0) = 6 1 17 y(t) : U2r (t)sin2t + sint| +sint + 6cos2t- sin2t 3 1 y() : 17 t – cost + 6sin2t+...

Please solve & show steps...

Extracted text: Find the solution of the given initial value problem. y" + 4y = sint – uza(1)sin(t – 27), y(0) = 6, y (0) = 6 1 17 y(t) : U2r (t)sin2t + sint| +sint + 6cos2t- sin2t 3 1 y() : 17 t – cost + 6sin2t+ cos2t 6 J) = co2 - cou +jcow 1 = zU2r (t) 17 t – cost +cost + 6sin2t+ cos2t 1 3 17 y(t) = u21 (1)sin2t – sint| + 6cos2t+sin2t 1 17 1 y(t : 1 -U2 (t)sin2t – sint +sint + 6cos2t+sin2t 3 6.