equation Find the solution u(r,theta) of Laplace's urr+(1/r)ur+(1/r^2)uthetatheta=0 outside the circle r=a, that satisfies the boundary euqation u(a,theta)=f(theta) Oa.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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equation
Find the solution u(r,theta) of Laplace's
urr+(1/r)ur+(1/r^2)uthetatheta=0
outside the circle r=a, that satisfies the
boundary euqation u(a,theta)=f(theta)
O<theta<2pi on the circle. Assume that
u(r,theta) is single-valued and bounded for
r>a.
Transcribed Image Text:equation Find the solution u(r,theta) of Laplace's urr+(1/r)ur+(1/r^2)uthetatheta=0 outside the circle r=a, that satisfies the boundary euqation u(a,theta)=f(theta) O<theta<2pi on the circle. Assume that u(r,theta) is single-valued and bounded for r>a.
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