Show that the vector field sin 2y x² Ĥ(x, y) = (y) = (₂ Y x² + 1 is conservative by finding all its potential functions. " -1 tan ¹ x + 2 cos 2y X - In y
Show that the vector field sin 2y x² Ĥ(x, y) = (y) = (₂ Y x² + 1 is conservative by finding all its potential functions. " -1 tan ¹ x + 2 cos 2y X - In y
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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Transcribed Image Text:Show that the vector field
Ĥ(x, y) = √ √7²³² + 1
Y
is conservative by finding all its potential functions.
sin 2y
tan¯¹ x +
9
x²
2 cos 2y
X
-
In y
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