Derivetheformulafortheinhomogeneouswaveequationinyetanothe

Chapter 3, Problem 3.4.6

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Derivetheformulafortheinhomogeneouswaveequationinyetanother way. (a) Write it as the system ut +cux = v, vt cvx = f. (b) Solve the rst equation for u in terms of v as u(x,t)= t 0 v(x ct +cs,s)ds. (c) Similarly, solve the second equation for v in terms of f. (d) Substitute part (c) into part (b) and write as an iterated integral.

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