Show that (2x In yz-5ye") dx-(5e* -x²y)dy +(x²z- +2=) dz, where C runs from (2,1,1) to (3,1,e), is independent of path in R° and use a potential function to evaluate the integral.
Show that (2x In yz-5ye") dx-(5e* -x²y)dy +(x²z- +2=) dz, where C runs from (2,1,1) to (3,1,e), is independent of path in R° and use a potential function to evaluate the integral.
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:Show that
(2x In yz – 5ye") dx –(5e* – x²y)dy +(x²+22) dz,
-1
where C runs from (2,1,1) to (3,1, e), is independent of path in R° and use a potential
function to evaluate the integral.
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