Use the Laplace transform to write the solution (in terms

Chapter 16, Problem 16.35

(choose chapter or problem)

Use the Laplace transform to write the solution (in terms of f (t)) of the boundary value problem 9 2 y t 2 + 2 y x 2 6 2 y xt = 0 for x > 0,t < 0 y(x, 0) = y t (x, 0) = 0 for x > 0, y(2,t) = f (t), y(0,t) = 0, lim x y(x,t) = 0 for t 0

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