Deriving the Wave Equation

In this video I derive the Wave Equation, one of the most important and powerful partial differential equations. It can be used for a huge variety of other problems in physics and engineering. In the next few lectures, we will solve and analyze this equation. Examples from a guitar string are used to illustrate ideas.

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This video was produced at the University of Washington

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0:00 Overview
2:00 The Wave Equation and Examples
8:33 History of the Wave Equation
10:03 Deriving the Wave Equation from F=ma
25:25 Quick Recap of Derivation
31:53 The Wave Equation and the Guitar String
35:08 Conclusions and Next Videos