Find g(x, z) so that F(x, y,z) = (8x cos y sin? z + 2e2xz)î – (4x² sin y sin? z)j+ (g(x, z) cos y + 2e2xz)k is a gradient vector field.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find g(x, z) so that F(x,y,z) = (8x cos y sin? z + 2e2xz)î – (4x² sin y sin? z)j +
(g(x, z) cos y + 2e2xz)k is a gradient vector field.
Transcribed Image Text:Find g(x, z) so that F(x,y,z) = (8x cos y sin? z + 2e2xz)î – (4x² sin y sin? z)j + (g(x, z) cos y + 2e2xz)k is a gradient vector field.
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