a$)$ Given the circuit shown below in figure $P2,$ compute the inductor current, $i_L(t),$ for $t0$ utilizing the generalized equation method presented in lecture. Assume the switch shown in figure P$2$ is ideal and opens in zero time at $t=0[s].$ The current and voltage conventions shown must be used in the analysis to receive any credit.

b$)$ Use your answer to part $2($a$)$ above and the relationship between the inductor current, $i_L(t),$ and the inductor voltage, $v_L(t),$ shown below in equation P $2$ to compute $v_L(t)$ for $t0.$

Equation P$2$: $v_L(t)=L\frac{d{i}_L(t)}{dt}$

Figure P$2$