Find an example of a vector field F(x, y, z) = (F1(x, y, z), F2(x, y, z), F3(x, y, z)) defined and smooth on all of R³ but not conservative, but satisfies ƏF3 dF3 and dz he dz

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Find an example of a vector field F(x, y, z) = (F1(x, y, z), F2(x, Y, z), F3(x, y, z)) defined and
smooth on all of R³ but not conservative, but satisfies
ƏF3
OF2
ƏF3
and
dz
ie
dz
dx
Transcribed Image Text:5. Find an example of a vector field F(x, y, z) = (F1(x, y, z), F2(x, Y, z), F3(x, y, z)) defined and smooth on all of R³ but not conservative, but satisfies ƏF3 OF2 ƏF3 and dz ie dz dx
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