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Given F(x, y) = (2xe'6(y), e'x²(eY + 0(y)) with o E C'(R) then O (A) F is conservative only if o(y) = e O B) there exist an infinitely many functions o such that F is conservative O (C) if the circuitation of F along a closed curve vanishes, then F is conservative O (D) F is conservative for every o

Given F(x, y) = (2xe'6(y), e'x²(eY + 0(y)) with o E C'(R) then O (A) F is conservative only if o(y) = e O B) there exist an infinitely many functions o such that F is conservative O (C) if the circuitation of F along a closed curve vanishes, then F is conservative O (D) F is conservative for every o

Advanced Engineering Mathematics
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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Given F(x, y) = (2xe'6(y), ex²(e + ¢(y}) with o E C'(R) then O (A) F is conservative only if o(y) = e O B) there exist an infinitely many functions o such that Fis conservative O (C) if the circuitation of F along a closed curve vanishes, then Fis conservative O (D) F is conservative for every o
Transcribed Image Text:Given F(x, y) = (2xe'6(y), ex²(e + ¢(y}) with o E C'(R) then O (A) F is conservative only if o(y) = e O B) there exist an infinitely many functions o such that Fis conservative O (C) if the circuitation of F along a closed curve vanishes, then Fis conservative O (D) F is conservative for every o
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