1 )2 + ơ-2)2] is harmonic in every region which does not include the point (1,2). (a) Prove that ψ = Inf(x- (b) Find a function ф such that ф + ir is analytic. (c) Express ф+ 3.54. as a function of z.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question attached. Z is a complex variable, z=x+iy 

1 )2 + ơ-2)2] is harmonic in every region which does not include the point (1,2).
(a) Prove that ψ = Inf(x-
(b) Find a function ф such that ф + ir is analytic. (c) Express ф+
3.54.
as a function of z.
Transcribed Image Text:1 )2 + ơ-2)2] is harmonic in every region which does not include the point (1,2). (a) Prove that ψ = Inf(x- (b) Find a function ф such that ф + ir is analytic. (c) Express ф+ 3.54. as a function of z.
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