Initially, there is no current in an RLC circuit with R = 20 Q,L=1 H and C = 0.001 F, and no charge on the capacitor. The circuit is connected to a battery supplying e(t) = 949 e 3t v. At time t= 0 the switch is closed and left closed for 3 seconds. At time t = 3 the switch is opened and left open thereafter. Find the resulting current in the circuit by solving the differential equation: di +Ri+ dt 1 i(x) dx = e(t).

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