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## Homework Statement

I'm given an equation describing a string on an elastic foundation:

u

_{tt}+w

^{2}

_{0}u = c

^{2}u

_{xx}

with the boundary conditions u(0,t)=u(l,t)=0.

## The Attempt at a Solution

I think I understand how to do this problem up to a certain point, but that point occurs when I find the actual eigenfrequencies. I'm not exactly sure what they are, in a general meaning, however I have attached my solution nonetheless.

http://img695.imageshack.us/img695/628/scan2j.jpg" [Broken]

Thank you for your help.

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