Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) y" + 6y' + 12y = 13t e- 3 sin(2t) O yp (t) = t ( Ant' + Alt + Ao) e at cos(2t) + t ( Bat? + Bit + Bo) e-3t sin(2t) O Up (t) = (Ant? + Alt + Ao) e at cos(2t) + (Bat2 + Bit + Bo) e-3t sin(2t) O yp (t) = t (Agt3 + Ant? + Alt + Ao) e 3t cos(2t) + t (Bat] + Byt2 + Bit + Bo) e-3t sin(2t) O yp (t) = th (Agt + Ant? + Alt + Ao) e 3t cos(2t) + t? (Bat] + Byt' + Bit + Bo) e 3 sin(2t) O yp (t) = (Ast] + Ant? + Alt + Ao) e-3t cos(2t) + ( Bat3 + Bat? + Bit + Bo) e-3t sin(2t)