= u(x, y) be harmonic on R². Define v(x,y) = (x+√³-√3x+y), \(x,y) = R² u( 2 2 Prove that v is still a harmonic function on R².
= u(x, y) be harmonic on R². Define v(x,y) = (x+√³-√3x+y), \(x,y) = R² u( 2 2 Prove that v is still a harmonic function on R².
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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Transcribed Image Text:Let u = u(x, y) be harmonic on R². Define
(x+√√3y -√√√3x +
3x + y ),
v(x, y) = u(
2
2
Prove that v is still a harmonic function on R².
-¹), V(x,y) = R².
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