The circuit was in steady state with the switch in position 1. Find the current i(t) for t > 0 if the switch is moved from position 1 to 2 at t = 0.
When the switch is in position 1, steady-state exists and the initial current through the inductor is,
After the switch is moved to position 2, the KVL gives, in Laplace transform,
Taking inverse Laplace transform,