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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Wave function

**Physics Forums | Science Articles, Homework Help, Discussion**