Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. find u(x,y) harmonic in s with given boundary valu

Find u(x,y) harmonic in S with given boundary values: S = {(x,y): 1 < y <...

70.2K

Verified Solution

Question

Advance Math

Find u(x,y) harmonic in S with given boundary values:

  1. S = {(x,y): 1 < y < 3} , u(x,y) = 5 (if y=1) and = 7(when y=3)
  2. S = {(x,y): 1 < x2 + y2 < 4},u(x,y)= 5 (on outer circle) and = 7 (on inner circle)

I have these two problems to solve, and I'm not sure where tostart. Any help would be appreciated. Thanks!

Answer & Explanation Solved by verified expert
3.7 Ratings (557 Votes)
    See Answer
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

Basic Math
1.2K views

The polling organization Ipsos conducted telephone surveys in March of 2004, 2005 and 2006. In each...

Psychology
1.2K views

identify three ways in which social satisfaction is evident in the everyday lives of students on...

Electrical Engineering
1.2K views

Explain in detail the differences between 4-Bit Synchronous and Asynchronous Counters. Each Flip-Flop is negative-edge triggered. Use...

Physics
1.2K views

A charge q1 of +3.0 x10^-6C is held at (-12, 0) (cm) . Another charge q2...

Biology
1.2K views

Combined Gas Law equation is represented by O T1 P1V1 T2 P2V2 O P V1...

Basic Math
1.2K views

Given that the polynomial f(x) has degree 8, which of the following most accurately describes...

Statistics
1.2K views

A student was asked to find a 90 confidence interval for the proportion of Students...

Algebra
1.2K views

Decay Part 1 of 3 109 000 1 4500e weeks after its initial outbreak in...

Accounting
1.2K views

Azule Company manufactures in two sequential processes, Cutting and Binding. The two processes report the...

Accounting
1.2K views

Valley Company's adjusted account balances from its general ledger on August 31, its fiscal year-end,...

Accounting
1.2K views

My Lodge, owned by Barron Pope, had the following account balances, in random order, on...

Accounting
1.2K views

A company's production budget indicates the following production requirements: October, 215,000 units; November 180,000 units,...