here is no energy stored in the circuit in Fig. P6.410 at the time the switch is opened. a. Derive the differential equation that governs the behavior of i2 if L1 = 5H, L2 = 0.2 H, M = 0.5 H, and R. = 10 12. Figure P6.41 •7 M It = 0 L3 EL2 iz) ŽR. } b. Show that when ig = e-10t – 10 A, t > 0, the differential equation derived in (a) is satisfied when i2 = 625e –10t – 250e – 500 mA, t > 0. c. Find the expression for the voltage vi across the current source. d. What is the initial value of vi? Does this make sense in terms of known circuit behavior?