In the circuit shown, the switch has been closed for a long time, V source$=5$V$,$ and two capacitors with the value of $100$uF are in parallel.$$

a$/$ Calculate i$1$ and i$2$ current when the switch has been closed for a long time.$$

b$/$ The switch opens at time t $=0.$ Find an expression for current i$1($t$)$ and i$2($t$)$ for time t $>0.$

Locations of the current i$1$ and i$2$ are in the diagram.