Help with this question, thanks!

Problem 6 At t = 0, the open switch in the figure is thrown closed. Let the current through the inductor be called i, and choose it to be downward through the inductor in the figure. Identify 21 as the current to the right through R1 and i2 as the current downward through R2. R1 S 3 R 2 (a) Use Kirchoff's junction rule to find a relation among the three currents. (b) Use Kirchoff's loop rule around the left loop to find another relationship. (c) Use Kirchoff's loop rule around the outer loop to find a third relationship. (d) Eliminate i1 and i2 among the three equations to find a differential equation involving only the current i . (e) Using the previous result, what is the current i(t) in the inductor as a function of time? You should get a differential equation for i in part (d) that is similar (but not exactly equal) to the following: E-iR- L- dt =0 -> i(t) = p (1 - e Rt/L)