Deriving the Wave Equation

Derive the Wave Equation, one of the most important partial differential equations in physics and engineering, in this 36-minute video lecture. Explore its applications through examples from a guitar string. Begin with an overview and historical context before delving into a detailed derivation using Newton's Second Law (F=ma). Recap the key steps of the derivation, then apply the equation to understand vibrations in a guitar string. Conclude with a summary and preview of upcoming related topics. Gain valuable insights into this powerful mathematical tool used across various scientific disciplines.

Overview .
The Wave Equation and Examples.
History of the Wave Equation.
Deriving the Wave Equation from F=ma.
Quick Recap of Derivation.
The Wave Equation and the Guitar String.
Conclusions and Next Videos.