By combining the results of 16 and 17, show that the solution of the problem a2uxx = utt
Chapter 10, Problem 18(choose chapter or problem)
By combining the results of 16 and 17, show that the solution of the problem a2uxx = utt , u( x, 0) = f ( x), ut ( x, 0) = g( x), < x < is given by u( x, t) = 1 2 _ f ( x at) + f ( x + at)_ + 1 2a _ x+at xat g()d. 19 and 20 indicate how the formal solution (20), (22) of equations (1), (3), and (9) can be shown to constitute the actual solution of that problem.
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