Solve the problem for w(r, θ) in a unit disk ∆w = 0, in 0 < r < 1, w(1, θ) = x2 + y, on r = 1. Find the expression of w(r, θ) and then express it in terms of x, y.

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 20E
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Solve the problem for w(r, θ) in a unit disk

∆w = 0, in 0 < r < 1,
w(1, θ) = x2 + y, on r = 1.


Find the expression of w(r, θ) and then express it in terms of x, y.

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