1. The problem statement, all variables and given/known data The switch is initially open, closes at t = 0, and then reopens at t = 0.5. Find iL(t). 2. Relevant equations 3. The attempt at a solution i really have no idea how to do this. i have a series RLC circuit at t=0-, t=0.5 and the circuit with the 18V source at t=0, t=0.5-. I got iL(0)=iL(0-)=0 Vc(0)=Vc(0-)=0 iL(0.5)=iL(0.5-)=18V/6ohm= 3A Vc(0.5)=Vc(0.5-)=5ohm*3A= 15V iL'(0.5)=vL(0.5)/L=15/2 = 7.5 A/s a = R/2L (series)= 7ohm/4 = 1.75 w0 = LC^(-1/2)=1/sqrt(2/17)=2.92 underdamped because a<w0. so far is this right? and also i have no idea how to find a single equation iL(t) for t=0-, t=1.5-, and also t=infinity. what do i do??