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(b) Find the solution of Laplace's equation outside a unit circle a?u 1 du 0, (r>1,0<0< 2x), subject to the boundary condition u(1,0) = 2 sin' 30, having in mind the requirements that the solution must satisfy in an unbounded domain.

(b) Find the solution of Laplace's equation outside a unit circle a?u 1 du 0, (r>1,0<0< 2x), subject to the boundary condition u(1,0) = 2 sin' 30, having in mind the requirements that the solution must satisfy in an unbounded domain.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(b) Find the solution of Laplace's equation outside a unit circle 22u 1du 0, (r>1,0<0 < 2), subject to the boundary condition u(1,0) = 2 sin 30, having in mind the requirements that the solution must satisfy in an unbounded domain.
Transcribed Image Text:(b) Find the solution of Laplace's equation outside a unit circle 22u 1du 0, (r>1,0<0 < 2), subject to the boundary condition u(1,0) = 2 sin 30, having in mind the requirements that the solution must satisfy in an unbounded domain.
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