a) Establish/Prove the following: Given the inexact differential equation M(x, y) dx+ N(x, y) dy = 0. Show that if the integrating factor v= v(u), where u = x+y exists for the given DE, Nx-My M-N V = e then

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a)
Establish/Prove the following:
Given the inexact differential equation M(x, y) dx+ N(x, y) dy = 0.
Show that if the integrating factor v = v(u), where u = x+ y exists for the given DE,
N-My
-du
M-N
then
V= e
Transcribed Image Text:a) Establish/Prove the following: Given the inexact differential equation M(x, y) dx+ N(x, y) dy = 0. Show that if the integrating factor v = v(u), where u = x+ y exists for the given DE, N-My -du M-N then V= e
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