Problem $5\mathrm{.}37$ Prior to t$=0,$ capacitor C$\_(1)$ in the circuit of Fig. P$5\mathrm{.}37$ was uncharged.

For I$\_(0)=5$mA$,$R$\_(1)=2$k$\backslash$Omega $,$R$\_(2)=50$k$\backslash$Omega $,$C$\_(1)=3\backslash$mu F$,$ and C$\_(2)=6\backslash$mu F$,$ determine:

$($a$)$ The equivalent circuit involving the capacitors for t$>=0.$ Specify v$\_(1)(0)$ and

v$\_(2)(0).$

$($b$)$ i$($t$)$ for t$>=0.$

$($c$)$ v$\_(1)($t$)$ and v$\_(2)($t$)$ for t$>=0.$

Figure P$5\mathrm{.}37$: Circuit for Problem $5\mathrm{.}37.$