Wave Equation Solution: v = w/k | y(x,t) = Ae^(i(kx-wt))

Thread starter dnoi
Start date Jan 24, 2008
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Wave Wave equation

AI Thread Summary

The discussion focuses on demonstrating that the wave equation is satisfied by the solution y(x,t) = Ae^(i(kx-wt)) when the relationship v = w/k holds true. Participants are instructed to calculate the derivatives of y(x,t) and substitute them into the wave equation to verify the solution. A participant acknowledges a misunderstanding of the problem but expresses gratitude for the clarification. The importance of correctly interpreting the relationship between velocity, angular velocity, and wave number is emphasized. Overall, the thread revolves around solving the wave equation using the specified parameters.

Jan 24, 2008

dnoi

Homework Statement

Show that, as long as v = w/k, the wave equation is solved by

y(x,t) = Ae^(i(kx-wt))

v=velocity
w=angular velocity
k=wave number

Last edited: Jan 24, 2008

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Jan 24, 2008

Rainbow Child

You have just to calculate the derivatives of y(x,t) and plug them in the wave equation.

Jan 24, 2008

dnoi

oh! i just read the problem wrong! sorry about that. thank you.

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