This problem considers two different first$-$order circuits, each assuming steady$-$state conditions exist at t $=0$ just before a switch closes. $($a$)($b$)($a$)$ In circuit $($a$),$ determine resistances R$1$ and R$2$ so that the inductor current for time t $>0$ is i$($t$)=4$e $0\mathrm{.}6$t A$.$ Answer: R$1=2$ and R$2=3($b$)$ In circuit $($b$),$ determine the capacitor voltage v$($t$)$ for time t $>0$