1. In electronics, in an RLC circuit, we can model the charge on the capacitor Q by the equation LQ" + RQ' + Q = E(t). Suppose we have a circuit with L = 1, R=0, C = 9, and E(t) given by: if 2 < t < 4 otherwise. E(t) Assume that the charge of the capacitor is 1 at time t = 0, and the rate of change in the charge is 0 at time t = 0. Find a function that represents the charge Q(t). Note that resistance R is measured in ohms V/A, inductance L is measured in henrys H = Vs/A, capacitance C is measure in farads C/V = As/V and the charge across the capacitor Q is measured in coulombs C = As. Also, the electromotive force E is measured in volts V and current I (not used here) is measured in amperes A.

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