Find a solution of the form A cos(nt) + Bsin((t) to the given forced oscillator equation using the method of insertion, collecting terms, and matching coefficients to solve for A and B. y" + 2y' + 3y = 4 sin(2t), 0 = 2 O y (t) = -+cos(2t) + 2sin(2t) O y (t) = -- cos(2t) + - sin(2t) O y (t) = -12 - cos(2t) - - sin(2t) O y (t) = - cos(2t) + - sin(2t) O y (t) = - -cos(2t) - - sin(2t)