(a) Find the solution u(x, y) of Laplaces equation in the semi-infinite strip 0 < x < a
Chapter 10, Problem 8(choose chapter or problem)
(a) Find the solution u(x, y) of Laplaces equation in the semi-infinite strip 0 < x < a, y > 0, that satisfies the boundary conditions u(0, y) = 0, u(a, y) = 0, y > 0, u(x, 0) = f(x), 0 x a and the additional condition that u(x, y) 0 as y .(b) Find the solution if f(x) = x(a x).(c) Let a = 5. Find the smallest value of y0 for which u(x, y) 0.1 for all y y0.
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