In 0 - Зи0? o), defined in 4uv - 03 2u? Show that a vector field F pe Vu? + v2' Vu?+ v² coordinate system 1 = uv sin 0, z = I = uv cos 0, y is irrotational
In 0 - Зи0? o), defined in 4uv - 03 2u? Show that a vector field F pe Vu? + v2' Vu?+ v² coordinate system 1 = uv sin 0, z = I = uv cos 0, y is irrotational
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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Question
please attend the question on the picture attached. thank you
Transcribed Image Text:4uv – 0%
2u?
In 0 — Зив?
Show that a vector field F =
defined in paraboloidal
u²+ v2' Vu² + v²'
uv
coordinate system ( = uv cos 0, y uv sin 0, z =
1
(u? – v2) ) is irrotational and hence
find its scalar potential.
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