Consider a bar of length 40 cm whose initial temperature is given by u(x, 0) = x(60
Chapter 10, Problem 13(choose chapter or problem)
Consider a bar of length 40 cm whose initial temperature is given by u(x, 0) = x(60 x)/30. Suppose that 2 = 1/4 cm2/s and that both ends of the bar are insulated. (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) Determine the steady-state temperature in the bar. (d) Determine how much time must elapse before the temperature at x = 40 comes within 1 of its steady-state value.
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