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Separation of Variables

Separation of Variables Here is one of the most important techniques for solving partial differential equations: Separation of Variables. We illustrate this by solving the heat equation on a finite interval with zero boundary conditions. It is a technique that is general enough that it allows us to solve other kinds of PDE as well. This leads us through the world of eigenvalues and eigenfunctions and boundary-value problems and ultimately leads us to Fourier sine series, which is a way of expressing a function in terms of sine waves. Boundary Value Problems:    • Boundary Value Problems   How to finish solving this problem:    • Fourier Sine Example   Fourier series playlist:    • Fourier Series   Subscribe to my channel:    / drpeyam   Instagram:   / peyamstagram   Teespring merch: https://dr-peyam.creator-spring.com/?