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In this video I will show how the general form of a 2nd order differential equation limited with only 2 variables can be simplified, when D=0,E=0, F=0; A=constant, B=constant, C=constant, B=0; to the Laplace, 1-D wave, and Poisson's equations.
Next video in this series can be seen at:
https://youtu.be/uDkaXkAppik