For $t<0$, the circuit shown in Figure P4.21 is at DC steady-state. The switch is opened at $t=0$. Determine the current $i_L$ through the inductor for all time. Assume:
$$
\begin{array}{ll}
V_s=12 \mathrm{~V} & L=100 \mathrm{mH} \\
R_1=400 \Omega & R_2=400 \Omega \\
R_3=600 \Omega &
\end{array}
$$