3. Laplace's equation in two dimensions += 0 has the general solution I(r,y)=)(4coshkr + Bsinh kr) (Ck cos ky+Dasin ky) . Use the boundary conditions Þ(x,0) = Þ(r, b) = (0, y) = 0; Þ(a, y) = PR, where PR is a constant, to find the particular solution. You must show your work or otherwise completely justify your answer.
3. Laplace's equation in two dimensions += 0 has the general solution I(r,y)=)(4coshkr + Bsinh kr) (Ck cos ky+Dasin ky) . Use the boundary conditions Þ(x,0) = Þ(r, b) = (0, y) = 0; Þ(a, y) = PR, where PR is a constant, to find the particular solution. You must show your work or otherwise completely justify your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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