Consider the following initial value problem: y" + 8y' + 65y = h(t); y(0) = 0, y (0) = 7; 了 65,号 (a) Sketch the graph of the forcing function on an appropriate interval. 70 + 69 68 67 66 65 64 63 62 61 60 3. (b) Find the solution of the given initial value problem. NOTE: Denote the two Heaviside functions by uc(t) and ua(t). Indicate separately the values ofc and d knowing that c is the minimum of the two values. y(t) =

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