2. GivenF(x, y) = (4x³y²– 2xy³ )i + (2x¹y − 3x²y² + 4y³)j is a-conservative vector field.a. Find the potential function f(x, y).b. Determine the work done by the vector field inmoving a particle along a curve C' from (1,2) to (3,1).

To find the potential function for the given conservative vector field :-

Answered: 2. Given F(x, y) = (4x³y² - 2xy³)i +…

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. Given F(x, y) = (4x³y² - 2xy³)i + (2x¹y − 3x²y² + 4y³)j is a - conservative vector field. a. Find the potential function f(x, y). b. Determine the work done by the vector field in moving a particle along a curve C' from (1,2) to (3,1).