A process has the transfer function (a) For a step change in the input U(s) = 2/s,

Question:

A process has the transfer function

Y(s) U(s) G(s) = s2 +s +1

(a) For a step change in the input U(s) = 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation.
(b) What is the decay ratio?