For the circuit Shown in Figure, let R = 22, R2 = 82, L = 1 H, C = 0.5 F, E = 440 sin(1) V.Find the currents. Show the

details of your work and include the following (1) Write the system in Matrix form of X' = AX + G(t). (2) Find the general solution of the linear differential system in (1). (3) Find the particular solution corresponding to zero currents and charge when $t=0.$