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# In each of 19 through 23, solve the problem u t = k 2 u x ISBN: 9781111427412 173

## Solution for problem 17.22 Chapter 17

Advanced Engineering Mathematics | 7th Edition

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Problem 17.22

In each of 19 through 23, solve the problem u t = k 2 u x 2 + F(x,t) for 0 < x < L,t > 0, u(0,t) = u(L,t) = 0 for t 0, and u(x, 0) = f (x) for 0 x L. Choose a value of time, and using the same set of axes, graph the twentieth partial sum of the solution together with the solution of the problem with F(x,t) removed. Repeat this for several times. This gives some sense of the influence of F(x,t) on the temperature distributionk = 4, F(x,t) = t, f (x) = x( x), L =

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##### ISBN: 9781111427412

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