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All right, welcome back. Well continue, where we left off with the previous segment, was in identifying the strong form of the linear elliptic PDE, in one dimension. We sort of sketched out, an approach to generating analytic solutions to the strong form. And then, I made the point that this is not a very general approach, simply because its not a very useful approach I should say. Simply because as, as you know, the given data, and as boundary conditions get more complex, in particular in multiple dimensions, as you can imagine. Domains of interest in the context of many problems are not just a simple regular domains, right? And that introduces a further element of complexity, to solving partial differential equations, in strong form. Okay? So, analytic solutions are limited, and one tries to find approximate solutions. Okay? The first obvious way to approximate any differential equation is to go to something like, a finite difference method, right? Where a finite difference methods