Problem $9-37$

ans $9-37$ The switch in Figure P$9-37$ has been closed for a long time and is opened at $t=0.$ The circuit parameters are $R=22k,L=220mH,$ and $V_A=10V.$

$($a$)$ Find the differential equation for the inductor current $i_L(t)$ and initial condition $i_L(0).$

$($b$)$ Transform the equation into the $s$ domain.

$($c$)$ Solve the equation for $I_L(s).$

$($d$)$ Take the inverse transform of $I_L(s)$ to find $i_L(t).$

Figure $6$: Figure P$9-37$