(a) Use the method of integrating factor to solve the equation below for y: dy dx +ycotx cos x given that when x,y=2 (b) In the circuit below, switch S is closed at 7=0, and the current at that time is 0 A: 12 Ohm R E=60 V www 4 H (i) Set up the KVL equation for the circuit and solve it for the current I(t); (ii) Calculate the value of I at t=0.5 s; (iii) Find the value of I after a very long time.