Need help proving that a function is a solution to the homogeneous wave equation

  • Thread starter JerryG
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  • #1
JerryG
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Homework Statement


I have a homework problem that says that any function of the below form is a solution to the homogeneous wave equation.

f2.jpg


Any function of this form is a solution to the following equation:

f1.jpg



I would be able to solve it if the function was defined, but I'm not quite sure how to handling the partial differential equations using this general solution.
 

Answers and Replies

  • #2
fzero
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Let [tex]y = t -R\sqrt{\mu\epsilon}[/tex] and use the chain rule on [tex]U(R,t) = f(y)[/tex].
 
  • #3
dextercioby
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Didn't you take a math course showing you the reverse ? Well, checking if a certain function obeys a differential equation is a piese of case comparing to solving the equation to obtain that function as solution/among all solutions.
 

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