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 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. On the next slide we give an example that shows that this equality does not hold, and hence the Laplace transform cannot in general be commuted with ordinary multiplication.
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