Question

(PDE Use the method of separation of variables and Fourier series to solve where m is...

(PDE

Use the method of separation of variables and Fourier series to solve where m is a real constant

And boundary value prob. Of Klein Gordon eqtn.

Given :

Utt - C^2 Uxx + m^2 U = 0 ,for 0 less than x less pi , t greater than 0

U (0,t) = u (pi,t) =0 for t greater than 0

U (x,0) = f (x) , Ut (x,0)= g (x) for 0 less than x less than pj

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