Solved: The electric circuit shown in Figure 7.9.1 is described by the system of
Chapter 7, Problem 13(choose chapter or problem)
The electric circuit shown in Figure 7.9.1 is described by the system of differential equationsdxdt =12 182 12x +120I(t), (i)where x1 is the current through the inductor, x2 is the voltage drop across the capacitor,and I(t) is the current supplied by the external source.(a) Determine a fundamental matrix (t) for the homogeneous system corresponding toEq. (i). Refer to of Section 7.6.(b) If I(t) = et/2, determine the solution of the system (i) that also satisfies the initialconditions x(0) = 0.
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