Question: Q4 (a) Given a differential equation y - 8y' + 3y = f(t) where f (t) is a periodic function as shown in Figure Q4

Q4 (a) Given a differential equation y" - 8y' + 3y = f(t) where f (t) is a periodic function as shown in Figure Q4 (a). (i) Find the piecewise function of f (t) . (ii) Find the Laplace Transform Y(s), of the differential equation with initial values, when t =0, y =1 and y' =-2

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