Question: need help solving this problem Consider y - y = f(t), y(0) = y'(0) = 0. (a) [6 points] Show that y(t) = sinhT .

need help solving this problem

Consider y" - y = f(t), y(0) = y'(0) = 0. (a) [6 points] Show that y(t) = sinhT . f(t - T) dT. Remark. In case you are not sure about the definition, sinh T := =(er - e-T). (b) [6 points] Find the solution y = y(t) with f (t ) = [1 - t, if te [0, 1], 0 , if t > 1

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