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a) There are four points on the circle where the field F is tangent to the circle. Find them. 84 дх JJJJ b) Find a potential function p(x, y) such that Vy = F. That is, find y(x, y) such that and ap Әх =x-Y. =y 11

a) There are four points on the circle where the field F is tangent to the circle. Find them. 84 дх JJJJ b) Find a potential function p(x, y) such that Vy = F. That is, find y(x, y) such that and ap Әх =x-Y. =y 11

Advanced Engineering Mathematics
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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2. Below is a plot of the field F(x, y) = (y,x - y) and the circle x² + y² = 1. a) There are four points on the circle where the field F is tangent to the circle. Find them. b) Find a potential function p(x, y) such that Vy= F. That is, find p(x,y) such that 84 and ər = y Əy дх =x-Y.
Transcribed Image Text:2. Below is a plot of the field F(x, y) = (y,x - y) and the circle x² + y² = 1. a) There are four points on the circle where the field F is tangent to the circle. Find them. b) Find a potential function p(x, y) such that Vy= F. That is, find p(x,y) such that 84 and ər = y Əy дх =x-Y.
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