In Section 4.1 the differential equation for the charge
Question and Solution
In Section 4.1 the differential equation for the charge on the capacitor of the RLC circuit illustrated in Figure 5.2.1
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In Section 4.1 the differential equation for the charge on the capacitor of the RLC circuit illustrated in Figure 5.2.1 was shown to be Lq?? + Rq? + 1 Cq = e(t). (iii) Take the Laplace transform of Eq. (iii) to derive Eq. (12) for Q(s) and then use Eq. (9) to derive Eq. (13) for I(s). In each of Problems 23 through 27, find the Laplace transform Y(s) = ?{y} of the solution of the given initial value problem. A method of determining the inverse transform is developed in Section 5.5.
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