Solved: Suppose that the conditions are as in 15 and 16 except that the boundary

Chapter 10, Problem 17

(choose chapter or problem)

Suppose that the conditions are as in 15 and 16 except that the boundary condition at x = 0 is u(0, t) = 40. (a) Find the temperature u(x, t). (b) Plot u versus x for several values of t. Also plot u versus t for several values of x. (c) Compare the plots you obtained in this problem with those from 16. Explain how the change in the boundary condition at x = 0 causes the observed differences in the behavior of the temperature in the bar.

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