Descendfromtwodimensionstooneasfollows.Letutt =c2uxx with

Chapter 9, Problem 20

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Descendfromtwodimensionstooneasfollows.Letutt =c2uxx with initial data (x)0 and general (x). Imagine that we dont know dAlemberts solution formula. Think of u(x, t) as a solution of the twodimensional equation that happens not to depend on y. Plug it into (19) and carry out the integration.

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