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.
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.
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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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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