7. (a) (8 points) The current I = I(t) in a certain LRC circuit obeys I" + 21' + 21 = sin(wt), I(0) = F'(0) = 0, where w > 0 is a constant. Determine / and identify its transient and steady state parts. (b) (7 points) Now assume the circuit has no resistance and that w = v2 in the term on the right-hand side, so the differential equation becomes I' (t) + 21(t) = sin(v2t). Solve the initial value problem for the current I (t) if I (0) = I'(0) = 0