In the circuit shown when Vs (t) = (2cost) u (t) and with unknown initial conditions (iL (0+) can be zero or any value), it is found that the current iL (t) = (1-3e ˆT + sqrt (t-pi / 4)) u (t)....

In the circuit shown when Vs (t) = (2cost) u (t) and with unknown initial conditions (iL (0+) can be zero or any value), it is found that the current iL (t) = (1-3e ˆT + sqrt (t-pi / 4)) u (t). determine: i) iL (t) when vs (t) = 0 under the same initial conditions; ii) iL (t) when both sources are zeros and the same initial conditions.