I have a function defined between 0<x<infinity, and 0<y<b(adsbygoogle = window.adsbygoogle || []).push({});

[itex] \phi=cos(\pi y/b) e^{iwt}(A e^{\lambda x} + B e^{-\lambda x)}[/itex]

Given [itex] \frac{\partial \phi}{\partial x} = a cos(\pi y/b)e^{iwt} [/itex] at x=0

and [itex] \omega ^2 = \pi ^2 v^2 n^2 /b^2 [/itex]

need to find A and B.

Above condithion gives one equation for A and B.

How do I find a second equation relating A and B.

Given function satisefies the 2D wave equation.

Pluggig in values in

[itex] \frac {\partial ^2 \phi}{\partial x^2 } + \frac {\partial ^2 \phi}{\partial y^2 } = 1/v^2 \frac {\partial ^2 \phi}{\partial t^2 }[/itex]

I get, relationship between v and w. No new info.

I would appreciate any hints,

THanks,

Gamma.

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# Wave function

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