Problem $4(15$ pts$.)$: In the circuit below the switch was closed for a long time before $t=0$ when it is OPENED.

a$)(3$ pts$.)$ Find the values of the inductor current and the capacitor voltage at $t=0^{+}$and redraw the circuit in time domain for $t>0$ to show these initial conditions. $($Hint: you need to do steady state analysis for closed switch at $t=0^{-}$to determine the values required at $t=0^{+}$