What would be the effect of adding damping (+cy', where c > 0) to the system? How could a bridge design engineer incorporate more damping into the bridge? Solve the problem y" + cy' + f(y) = sin (4t), y(0) = 0, y'(0) - 1, where
and
a. c = 0.01
b. c = 0.1
c. c = 0.5