For the rod in 9: (a) Plot u versus x for t = 5, 10, 20, 40, 100, and 200. Put all of

Chapter 10, Problem 14

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For the rod in 9: (a) Plot u versus x for t = 5, 10, 20, 40, 100, and 200. Put all of the graphs on the same set of axes and thereby obtain a picture of the way in which the temperature distribution changes with time. (b) Plot u versus t for x = 5, 10, 15, and 20. (c) Draw a three-dimensional plot of u versus x and t. (d) How long does it take for the entire rod to cool off to a temperature of no more than 1C?

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