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Given the vector field F(x,y)=<4x+5y, 5x-y> and the path C from (0,0) to (1,1) along the curve. x = t { y = sin( =) a) Find the potential function f(x,y) such that F = Vƒ(x, y).

Given the vector field F(x,y)=<4x+5y, 5x-y> and the path C from (0,0) to (1,1) along the curve. x = t { y = sin( =) a) Find the potential function f(x,y) such that F = Vƒ(x, y).

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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Given the vector field F(x,y)=<4x+5y, 5x-y> and the path C from (0,0) to (1,1) along the curve. x=t |y=sin(2/¹) a) Find the potential function f(x,y) such that F= Vƒ (x, y). b) Find Fdr using two different methods. Explain di
Transcribed Image Text:Given the vector field F(x,y)=<4x+5y, 5x-y> and the path C from (0,0) to (1,1) along the curve. x=t |y=sin(2/¹) a) Find the potential function f(x,y) such that F= Vƒ (x, y). b) Find Fdr using two different methods. Explain di
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