Problem 11
(Note. Uxx = c^-2 Utt ;
BC Ux(0,t) = 0; U(x,t) -> 0 as x -> infinity
IC U(x,0) = f(x) ; Ut(x,0) = g(x) )
U. .cz Use the Fourier cosine transform to find an integral solution of Il = c-', 0<x< 1 >0 B.C.: 1,(0.1) = 0. War, 1) O as L.C.: (x, 0) = (x). !, (8,0) = g(x). (.. r = =
Problem 11 (Note. Uxx = c^-2 Utt ; BC Ux(0,t) = 0; U(x,t) -> 0 as x -> infinity IC U(x,0) = f(x) ; Ut(x,0) = g(x) )
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Problem 11 (Note. Uxx = c^-2 Utt ; BC Ux(0,t) = 0; U(x,t) -> 0 as x -> infinity IC U(x,0) = f(x) ; Ut(x,0) = g(x) )
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