In problem use a graphing utility to graph the indicated solution.

y(t) of Problem 14 for 0 ≤ t

Problem 14

In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed.

y'' + y = f(t), y(0) = 1, y'(0) = 0, where

Appendix III

(1, f(t) = [sin t, 0st < /2 t2 /2