There is no energy stored in the circuit in Figure at the time the switch is opened.a) Der...

There is no energy stored in the circuit in Figure at the time the switch is opened.

a) Derive the differential equation that governs the behavior of i2 if L1 = 4 H, L2 = 16 H, M = 2 H, and Ra = 32 Ω..

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b) Show that when ig= 8 − 8e-tA, t  ≥ 0, the differential equation derived in (a) is satisfied when i2 = e-1 – e-2t A, t ≥ 0.

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c) Find the expression for the voltage v1 across thecurrent source.

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d) What is the initial value ot v1? Does this make sense in terms of known circuit behavior?