Application of Green's theorem I Assume that u and u are continuously differentiable functions. Using Green's theorem, prove that [St v|dA= [ude, D where D is some domain enclosed by a simple closed curve C with positive orientation. Ur Uy
Application of Green's theorem I Assume that u and u are continuously differentiable functions. Using Green's theorem, prove that [St v|dA= [ude, D where D is some domain enclosed by a simple closed curve C with positive orientation. Ur Uy
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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Step 1
Given:
It is given that and are continuously differentiable functions.
To Prove:
using Green's Theorem, where is some domain enclosed by a simple closed curve with positive orientation.
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