Using the method of undetermined coefficients, determine the form of a particular solution for the differential equation. y" + 36y = 4t3 sin(6t) O yp (t) = et (Ast] + Ant? + Ait + Ao) cos(6t) + (Bat) + Byt2 + Bit + Bo) sin(6t)] O yp (t) = tet [(Ast3 + Ant2 + Ait + Ao) cos(6t) + (Bat] + Byt2 + Bit + Bo) sin(6t)] O yp (t) = t (Agt3 + Ant? + Ait + Ao) cos(6t) + (Bat) + Bat2 + Bit + Bo) sin(6t)] O Up (t) = (Agt) + Ant? + Ait + Ao) cos(6t) + (Bat3 + Byt' + Bit + Bo) sin(6t)]