F = (x² – y² + x)i – (2xy + y)j,

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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Show that if F = (x² – y² + x)i – (2xy + y)j,
then curl F = 0, and find f(r) such that
F = grad f.
Verify that
7
-
C(2,1)
F•dr= [f(r)l&
|(2,1)
(1,2)
(1,2)
Transcribed Image Text:Show that if F = (x² – y² + x)i – (2xy + y)j, then curl F = 0, and find f(r) such that F = grad f. Verify that 7 - C(2,1) F•dr= [f(r)l& |(2,1) (1,2) (1,2)
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