The differential equation model for a particular chemical process has been found by testing to be as
Question:
The differential equation model for a particular chemical process has been found by testing to be as follows:
where ?1 and ?2 are constant parameters and u(t) is the input function of time.
What are the functions of time (e.g., e?1) in the solution for each output y(t) for the following cases? (Optional: Find the solutions for y(t).)
(a) u(t) = aS(t)? ? ? ? ? ? ?unit step function
(b) u(t) = be?1/?? ? ? ? ? ? ? ? ?? ? ?1 ? ?2
(c) u(t) = ce?1/?? ? ? ? ? ? ? ? ?? ? ?1 ? ?2
(d) u(t) = d sin wt ? ? ???1 ? ?2
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Related Book For 
Process Dynamics And Control
ISBN: 978-0471000778
2nd Edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellich
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