In each of 1 through 8, solve the initialboundary value
Chapter 16, Problem 16.7(choose chapter or problem)
In each of 1 through 8, solve the initialboundary value problem using separation of variables. Graph the fiftieth partial sum of the solution for some values of t, with c = 1 if c is unspecified in the problem. 2 y t 2 = c2 2 y x 2 for 0 < x < 2,t > 0 y(0,t)= y(2,t) = 0 for t 0 y(x, 0)= 0, y t (x, 0) = g(x) for 0 x 2 where g(x) = 2x for 0 x 1 0 for 1 < x 2.
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