$5-5.$ With the unit step function input, let's find out Vo$($t$)$ for t$>0.$

$($a$)$ Find out initial condition for Vo$(0)$ and $($d$)/($dt$)$V$\_($o$)(0)$

$($b$)$ This circuit is neither series RLC nor parallel RLC$.$ Build up second order equations by applying KCL and find out complete equation for Vo$($t$)$ with initial conditions from $($a$)$