A necessary and sufficient condition that M(x, y)dx + N(x, y)dy = 0 be an exact equation is ... ÔM ÔN (1) (3) ôx? %3D %3D ây ÔM (2) ây ở M = (4) ON %3D
A necessary and sufficient condition that M(x, y)dx + N(x, y)dy = 0 be an exact equation is ... ÔM ÔN (1) (3) ôx? %3D %3D ây ÔM (2) ây ở M = (4) ON %3D
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A necessary and sufficient condition that M(x, y)dx + N(x, y)dy = 0 be an exact equation is
...
ÔM
(1)
ON
(3)
%3D
ây
ÔM
(2)
ây
ON
(4)
ôxây
%3D
ôyêx
Transcribed Image Text:Find an integrating factor for the non-exact DE 2y(xy
— 1) dx + x(3ху — 4)dy — 0.
...
(1)
y
(3) у?
(2)
y
(4)
y2
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