Prove that the following function is harmonic and obtain its harmonic conjugate function: u(x, y) log (x² + y²)
Prove that the following function is harmonic and obtain its harmonic conjugate function: u(x, y) log (x² + y²)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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harmonic conjugate function:
u(x, y) = log (x² + y²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd62ddc42-9d62-4389-bb79-7368565608f2%2F7df39f07-e1f5-4d99-a236-f8bee200ff50%2Fiisy1vt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that the following function is harmonic and obtain its
harmonic conjugate function:
u(x, y) = log (x² + y²)
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