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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 8CR
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,