The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is *() + 1. 2tan -1 2tan-1 + C () + 3. tan-1 + C '(4) + c 1 4. tan | 2.
The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is *() + 1. 2tan -1 2tan-1 + C () + 3. tan-1 + C '(4) + c 1 4. tan | 2.
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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Question
3
![The conjugate harmonic function v(x, y) of u(x, y)
= In (x2 + y²) is
2tan- ( +
)
1.
2tan-() -
2.
+ C
(;) +
3.
tan-1
'() +c
-1
4.
tan
|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b846046-3e64-4d12-b723-ca4d54445067%2Fbb709652-8f07-4249-b240-0b6b33871105%2F0eikptr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The conjugate harmonic function v(x, y) of u(x, y)
= In (x2 + y²) is
2tan- ( +
)
1.
2tan-() -
2.
+ C
(;) +
3.
tan-1
'() +c
-1
4.
tan
|
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