Problem #$1(30$ points$)$

The analysis of a circuit in the s$-$domain has shown that the

expression of a node voltage v$\_(0)$ in the s$-$domain, i$.$e$.$ V$\_($o$)($s$),$ is:

V$\_($o$)($s$)=(36)/($s$($s$^(2)+$s$10+9))$

av$\_(0)$ in the time domain, i$.$e$.$: v$\_(0)($t$)$ for t$>=0.$

bv$\_($o$)($t$)$ from part $($a$)$ indicate the transient and the steady state components.

cv$\_($o$)($t$)$ in the time period from t$=0$untilt$=10$s$.$

dv$\_(0)$ to reach

$99\%$ of its final or steady state value.