Answer Happy

Laplace Transforms: Problem 3 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). y(t) = c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 4. y(t) if 0 < t < 4, if 4 < t <∞0.