Concept explainers
Feedback System with Pooling Delay. Many physical and biological systems involve time delays. A pure time delay has its output the same as its input but shifted in time. A more common type of delay is pooling delay. An example of such a feedback system is shown in Figure(5.3) on page 251. Here the level of fluid in tank B determines the rate at which fluid enters tank A. Suppose this rate is given by
a. If the outflow rate
b. Find a general solution for the system in part (a) when
c. Using the general solution obtained in part (b), what can be said about the volume of fluid in each of the tanks as
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Fundamentals of Differential Equations and Boundary Value Problems
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