Suppose that Mdx + Ndy 0 is an exact equation, and M and N are both homogenous functions of degree n in x and y. Show that the general solution of Mdx + Ndy 0 is xM + yN = C For what value/s of n will this be valid?
Suppose that Mdx + Ndy 0 is an exact equation, and M and N are both homogenous functions of degree n in x and y. Show that the general solution of Mdx + Ndy 0 is xM + yN = C For what value/s of n will this be valid?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 17E
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![Suppose that Mdx + Ndy = 0 is an exact equation, and M and N are both homogenous functions of
degree n in x and y.
Show that the general solution of Mdx + Ndy = 0 is
xM + yN = C
For what value/s of n will this be valid?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17b393eb-33e3-40a8-acff-837c4bb0f5bf%2F3fbe65c2-d2f9-4c8d-974c-1cfc0ca6b35c%2Fvytjj9a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that Mdx + Ndy = 0 is an exact equation, and M and N are both homogenous functions of
degree n in x and y.
Show that the general solution of Mdx + Ndy = 0 is
xM + yN = C
For what value/s of n will this be valid?
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