Let ^y + sin(3), -a"y* +3, zy*") F = be a vector field on IR. Find a vector potential G = (g1, 92, 0) for F (that is, a vector field G such that V × G =F ), where gi, 92 : R → R are smooth functions. 92
Let ^y + sin(3), -a"y* +3, zy*") F = be a vector field on IR. Find a vector potential G = (g1, 92, 0) for F (that is, a vector field G such that V × G =F ), where gi, 92 : R → R are smooth functions. 92
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:Let
F =
x*y +
be a vector field on R3. Find a vector potential G = (91, 92, 0) for F (that is, a vector field G such that V x G =F ), where g, 92 : R3 → R are smooth functions.
91
92 =
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