Finding Current Response in Inductor Example Problem

This is similar to problem 5.49 in "Circuit Analysis and Design" by Ulaby, Maharbiz, and Furse. This is a free/open educational textbook on basic circuit design found here: https://cad.eecs.umich.edu/ There are two switches in a circuit and an inductor. We will find the time domain response of the current inside the inductor over all time regions.