In this video, I describe the application of Green's Functions to solving PDE problems, particularly for the Poisson Equation (i.e. A nonhomogeneous Laplace Equation). I begin by deriving the 2 Green Identities, after which I use those identities to come up with an equation for the solution to the Poisson Equation.

Most of the derivations I've done in this video apply to a 3-dimensional case, but as I explain at the end, you could just as easily apply these methods to a 2-D situation as well (in fact, it's slightly easier than with 3-D)!

Questions/requests? Let me know in the comments!

Prerequisites: The first two videos of this playlist:    • Partial Differential Equations   and this video on Green's Functions for ODEs are essential:    • Using Green's Functions to Solve Nonh...   - the rest of the videos in the PDE playlist are helpful but optional.
Lecture Notes: https://drive.google.com/open?id=1uP8...
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