$i(t)=I_s+A_1{e}^{s_{1}t}+A_2{e}^{s_{2}t}(Overdamped)$

$i(t)=I_s+(A_1+A_{2}t)e^{-t}(Critically$ damped$)$

$i(t)=I_s+(A_{1}cos{}_{d}t+A_{2}sin{}_{d}t)e^{-t}(Underdamped)$

In the circuit of Fig. $8\mathrm{.}23,$ find $i(t)$ and $i_R(t)$ for $t>0.$

For Example $8\mathrm{.}8.$ plzase solve this problem use the formula above