(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 + y = 2 + 8(t - 4), y(0) = 0. a. Find the Laplace transform of the solution. Y(S) = L {y(t)} = b. Obtain the solution y(t). yt) = c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 4. t) = if 0