Web Reference: Nov 16, 2022 · In this section we giver a brief introduction to the convolution integral and how it can be used to take inverse Laplace transforms. We also illustrate its use in solving a differential equation in which the forcing function (i.e. the term without an y’s in it) is not known. In advanced classes such as Linear Systems I and II, the convolution integral plays a critical role in understanding system responses, signal processing, and the behavior of linear time-invariant (LTI) systems. In this example, we're interested in the peak value the convolution hits, not the long-term total. Other plans to convolve may be drug doses, vaccine appointments (one today, another a month from now), reinfections, and other complex interactions.
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