Question: The dynamic model between an output variable y and an input variable u can be expressed by (a) Does this system exhibit an oscillatory response

The dynamic model between an output variable y and an input variable u can be expressed by d'y(t) dy(t) + y(1) = 4du(t – 2) +35 — и(( — 2) dt dt? dt

(a) Does this system exhibit an oscillatory response after an arbitrary change in u?
(b) What is the steady-state value of y when u(tˆ’2)= 1?
(c) For a step change in u of magnitude 1.5, what is y(t)?

d'y(t) dy(t) + y(1) = 4du(t 2) +35 (( 2) dt dt? dt

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