- Show that -1 2y - x is a conservative vector field by finding a potential function for F. F(x, y, z) = 2 y² -1 5²¹²= + 2y²= 2 ² 1 4 22 +32²) z , 2y tan

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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- Show that
-1
2y - x
is a conservative vector field by finding a potential function for F.
F(x, y, z) =
2 y²
-1
5²¹²= + 2y²= 2 ² 1 4 22 +32²)
z
, 2y tan
Transcribed Image Text:- Show that -1 2y - x is a conservative vector field by finding a potential function for F. F(x, y, z) = 2 y² -1 5²¹²= + 2y²= 2 ² 1 4 22 +32²) z , 2y tan
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