Answer Happy

(1 point) Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. y"-2y = 8(t-1), y(0) = 5, y (0) = 0. a. Find the Laplace transform of the solution. Y(s) = C (y(t)) = b. Obtain the solution y(t). y(1) == c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at r = 1. y(t) = if 0 st < 1. if 1 ≤ 1 <.00.