The switch in the circuit in Figure. 1 has been in position 'a' for a long time. At t = 0, the switch moves instantaneously to position 'b'. a) Derive the integrodifferential equation that governs the behavior of the current io for t≥ 0+ b) Show that Io(s) = Idc [s +(1/RC)] a [s² +(1/RC)s+ (1/LC)] R C L Ide Figure. 1: RLC Circuit