Question: The dynamic model for a process is given by where u(t) is the input function and y(0) and dy/dt (0) are both zero. What are

The dynamic model for a process is given by + 8y = 3u(t) +6 dt? dt

where u(t) is the input function and y(0) and dy/dt (0) are both zero.

What are the functions of the time (e.g., eˆ’t/Ï„) in the solution for each of the following cases?

(a) u(t) = beˆ’2t
(b) u(t) = ct

b and c are constants.
You do not have to find y(t) in these cases. Just determine the functions of time that will appear in y(t).

+ 8y = 3u(t) +6 dt? dt

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