ECE 205 - Winter 2017Assignment 6 SolutionsDue 19-03-2017Note:Please submit only the solution for problems 1,2,3,4 and 5. Full solutions are expected forproblem 6.1: StabilityFind the conditions on the positive constantsa, b, c, dsuch that the system governed by thefollowing ODE is stable:a...x+b¨x+c˙x+dx=g(t).
•(i) Determine the transfer function of the system.
(ii) What is the order and what is the characteristic equation of the system?
(iii) Determine the zeros and poles and plot them.