Consider the situation in with a2 = 1, L = 10, and f ( x) = x 4, 4 x 5, 6 x, 5 x 6, 0

Chapter 10, Problem 24

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Consider the situation in with a2 = 1, L = 10, and f ( x) = x 4, 4 x 5, 6 x, 5 x 6, 0, otherwise. a. Determine the coefficients cn in the solution of 23a. G b. Plot N _ n=1 cn sinn x 10 _ for 0 x 10, choosing N large enough so that the plot accurately displays the graph of f ( x). Use this value of N for the remaining plots called for in this problem. G c. Let = 0. Plot u( x, t) versus x for t = 60. G d. Let = 1/8. Plot u( x, t) versus x for t = 20, 40, and 60. G e. Let = 1/4. Plot u( x, t) versus x for t = 20, 40, and 60.

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