Find a potential function for the vector field F(x, y) = (6x sin y,3 cos x), if it exists %3D A. No potential function exists B. (x,y) = (3x² sin y, 3 cos xy) %3D C. p (x, y) = 18x cos x sin y D. (x, y) = 3x² sin y + C(y) %3D E. o (x, y) = 6 sin y %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a potential function for the vector field F(x, y) = (6x sin y ,3 cos x), if it exists
A. No potential function exists
B. (x, y) = (3x sin y, 3 cos xy)
C. o (x, y) = 18x cos x sin y
D. o (x, y) = 3x² sin y + C(y)
%3D
E. o (x, y) = 6 sin y
Transcribed Image Text:Find a potential function for the vector field F(x, y) = (6x sin y ,3 cos x), if it exists A. No potential function exists B. (x, y) = (3x sin y, 3 cos xy) C. o (x, y) = 18x cos x sin y D. o (x, y) = 3x² sin y + C(y) %3D E. o (x, y) = 6 sin y
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