Find the potential function f for the field F.F = (y - z) i + (x + 2y - z) j - (x + y) k a)f(x, y, z) = x(y + y2) - xz - yz + C b)f(x, y, z) = xy + y2 - x - y + C c)f(x, y, z) = xy + y2 - xz - yz + C d)f(x, y, z) = x + y2 - xz - yz + C

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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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	a)	f(x, y, z) = x(y + y²) - xz - yz + C
	b)	f(x, y, z) = xy + y² - x - y + C
	c)	f(x, y, z) = xy + y² - xz - yz + C
	d)	f(x, y, z) = x + y² - xz - yz + C

Find the potential function f for the field F. F = (y - z) i + (x + 2y - z) j - (x + y) k a) f(x, y, z) = x(y + y2) - xz - yz + C b) f(x, y, z) = xy + y2 - x - y + C c) f(x, y, z) = xy + y2 - xz - yz + C d) f(x, y, z) = x + y2 - xz - yz + C