Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 11 5 1 show that the following functions are harmo

11 5 1 Show that the following functions are harmonic and find its har monic...

70.2K

Verified Solution

Question

Basic Math

image

11 5 1 Show that the following functions are harmonic and find its har monic conjugates a x y c sinhrsing b xy 3x y y d e cos 2ry f Solution a Set u r y x y 1 2y 2r Au 0 thus is the function u x y is harmonic Cauchy Riemann give us Thus we have that thus b Set e tan y r x 0 x x y v u 2y v x y 2xy g y vy 2r g y v 2r u x y xy 3x y y g y 0 g y C v x y 2xy C 6y y 6y thus is the function u r y is harmonic Cauchy Riemann give us u y 6ry u x 3x 3y 52 u x 3x 3y v x y 3ry 9 y t 6ry g y Vy U y 6zy Thus we have that g x y g y C 2 Au 0

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

List the compounds used as energy sources by each of the following: a) Skeletal muscle b)...

Medical Sciences
1.2K views

- describe the muscle and bones of thorax - give a clinical summary of mediastinum and...

Physics
1.2K views

You place a crate of mass 31.6 kg on a frictionless 3.00-meter-long incline. You release the...

Basic Math
1.2K views

Given the following numbers: 25 16 61 18 15 20 15 20 24 17 19 28,...

Biology
1.2K views

Which of the following statements are incorrect 1 All matter is composed of compounds 2...

Physics
1.2K views

Out of the following functions representing moti of a particle which represents SHM 1 x...

Geometry
1.2K views

Onstruct using only a straight edge and compass a concentric circle same center with the...

Basic Math
1.2K views

Given the Initial Value and Rate of Change write the exponential function for each of...

Calculus
1.2K views

alculator to find the value of

Accounting
1.2K views

Navy and Orange are two competing companies that sell t-shirts. The following data is available...

Accounting
1.2K views

Our company currently has two divisions, with the following budgeted operating results for next year:...

Finance
1.2K views

Company X sells on a 2/20, net 52, basis. Customer Y buys goods with an...