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
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
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: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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