Part I. Energy transfer (100 points) IL V1 V2 Figure 1. Observe the circuit in Figure 1. Initial conditions: Voltage on C1 is v1(t = 0) =V1, on C2 is...

I just get into the graduated school and professor gives me this review question. I totally forget about all the knowledge I learnt and don't even know how to approach the question. Would some one help me with this L-C-R circuit? thanks a lot. please see detail in attachment.