A model for an infinitely long string that is initially
Chapter 12, Problem 12.1.74(choose chapter or problem)
A model for an infinitely long string that is initially held at the three points (1, 0), (1, 0), and (0, 1) and then simultaneously released at all three points at time t 0 is given by (12) with f(x) 1 x , 0, x 1 x 1 and g(x) 0. f(x) ex2 , g(x) 0 ( 1 2 f(x at)) 12.5 LAPLACES EQUATION 473 (a) Plot the initial position of the string on the interval [6, 6]. (b) Use a CAS to plot dAlemberts solution (13) on [6, 6] for t 0.2k, k 0, 1, 2, . . . , 25. Assume that a 1. (c) Use the animation feature of your computer algebra system to make a movie of the solution. Describe the motion of the string over time. 21. An
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