(Boundary value problem) Verify that the function u(x, y)

Chapter 12, Problem 12.1

(choose chapter or problem)

(Boundary value problem) Verify that the function u(x, y) = a In (x 2 + ,.2) + b satisfies Laplace's equation (3) and determine a and b so that u satisfiesthe boundary conditions 1I = 110 on the circlex 2 + .1'2 = 1 and II = 0 on the circle.\"2 + y2 = 100.

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