1. For each of the following vector fields F(1, y), decide if there is function f(z, y) such that F = Vf; if yes, find such a function, if no, explain. (a) Fi= [2ry, z2+ 비 (b) F2 = [2ry, 2xy] (c) Fz = [ (d) F3 = [

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. For each of the following vector fields F(r,y), decide if there is function f(r, y) such
that F = Vf; if yes, find such a function, if no, explain.
(a) Fi=12ry, z2 + e비
(b) F2 = [2ry, 2ry]
(c) É3 = [
(d) Fz = [
Transcribed Image Text:1. For each of the following vector fields F(r,y), decide if there is function f(r, y) such that F = Vf; if yes, find such a function, if no, explain. (a) Fi=12ry, z2 + e비 (b) F2 = [2ry, 2ry] (c) É3 = [ (d) Fz = [
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