Hi,

I am not able to figure out the following membrane problem. If anyone could help that would be greatly appreciated. Thanks.

(Minimum Property) Show that among all rectangular membranes of the same area

A = ab and the same c the square membrane is that for which u11 has the lowest frequency.

The frequency of the membrane is given by umn = lamda/2*pi

where lamda = c*pi*sqrt( (m^2)/(a^2) + (n^2)/(b^2) ) where m = 1,2,...,

where n = 1,2,...,