$1-$ The o$\mathrm{.}1$ uF capacitor is charged to $100$ V$.$ At t$=$o the capacitor is discharged through a series combination of a $100$ mH inductor and a $560$ resistor. a$)$ Find i$($t$)$ for t$>0.$ b$)$ Find vc $($t$)$ for t$>0$