Consider again the rod in 9. For t = 5 and x = 20, determine how many terms are needed

Chapter 10, Problem 13

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Consider again the rod in 9. For t = 5 and x = 20, determine how many terms are needed to find the solution correct to three decimal places. A reasonable way to do this is to find n so that including one more term does not change the first three decimal places of u(20, 5). Repeat for t = 20 and t = 80. Form a conclusion about the speed of convergence of the series for u( x, t). N

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