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Re:Breakthrough in inverse Laplace transform procedures by scythmic_waves on Friday June 19, 2020 @03:23PM (#23577997)
> Think I'm gonna checkout 3blue1brown after this - he can probably close that gap for me.

You might like this lecture from MIT's OCW: [1]. It's my favorite source for motivating the Laplace transform. It's a bit difficult to make this concept "simple", and this resource assumes that you already have some familiarity with the following concepts: infinite series, power series, radius of convergence, and (indefinite) integration.

The tl;dw is that the Laplace transform is a generalization of a power series.

[1] https://www.youtube.com/watch?v=sZ2qulI6GEk

Edit: I also wrote up a form of this video elsewhere if anyone's interested. It's kinda long though, and I didn't want to spam this thread with it.

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