Substituting the plane wave solution into the wave equation

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Homework Help Overview

The discussion revolves around substituting a plane wave solution into the wave equation, which is a topic in wave mechanics and differential equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the method of substitution and inquire about the differentiation rules necessary for this process. There is a focus on understanding the chain rule and its application in this context.

Discussion Status

Some participants have provided guidance on the differentiation rules and suggested resources for further learning. Multiple interpretations of the substitution process are being explored, but there is no explicit consensus on the next steps.

Contextual Notes

There is a mention of the need for basic calculus knowledge, particularly regarding the chain rule, which may not be fully understood by all participants.

janemba
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what do you have to do to solve this

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Try substituting the plane wave solution into the wave equation.
 
And what rule do you use to do that
 
You use, like, (d/dx)e^(f(x))=(d/dx)(f(x))*e^(f(x)). The ordinary rules of differentiation. Just tell us what you get. The exponentials should cancel on both sides leaving you with an algebraic relation between omega and k.
 
is there like a video that teach you the rules of ordinary rules of differentiation ?
 
I don't know that there is a video, but try any elementary calculus text. Pay particular attention to the 'chain rule'.
 

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