Consider the following initial value problem: E y" + 8y' + 65y = h(t); y(0) = 0, y'(0) = 7; S 65, 27T h(t) = 27 (a) Sketch the graph of the forcing function on an appropriate interval. 70 + 69 68 67+...

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27T h(t) = 27 (a) Sketch the graph of the forcing function on an appropriate interval. 70 + 69 68 67+ 66 65- 64- 63 62 61 60 4 (b) Find the solution of the given initial value problem. NOTE: Denote the two Heaviside functions by uc(t) and ud(t). Indicate separately the values ofc and d knowing that c is the minimum of the two values. y(t) = X "/>
Extracted text: Consider the following initial value problem: E y" + 8y' + 65y = h(t); y(0) = 0, y'(0) = 7; S 65, <>< 0,=""><>< or="" t=""> 27T h(t) = 27 (a) Sketch the graph of the forcing function on an appropriate interval. 70 + 69 68 67+ 66 65- 64- 63 62 61 60 4 (b) Find the solution of the given initial value problem. NOTE: Denote the two Heaviside functions by uc(t) and ud(t). Indicate separately the values ofc and d knowing that c is the minimum of the two values. y(t) = X