Show that the differential equation xºy7 + x(1+yº)y' = 0 is not exact, but becomes exact when multiplied by the integrating factor 1 μ(x, y) = Then solve the equation. xy¹ The given equation is not exact, because My = which is different from N = After multiplication with µ(x, y), the equation is exact, because then My=N -
Show that the differential equation xºy7 + x(1+yº)y' = 0 is not exact, but becomes exact when multiplied by the integrating factor 1 μ(x, y) = Then solve the equation. xy¹ The given equation is not exact, because My = which is different from N = After multiplication with µ(x, y), the equation is exact, because then My=N -
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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![The general solution of the differential equation is given implicitly by
= c, for any constant c, where y > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef0643ce-9398-4953-be86-6ed6d5307bb0%2F2da0b501-0bfe-48f7-aca4-6cb99949f159%2Flpdn81f_processed.png&w=3840&q=75)
Transcribed Image Text:The general solution of the differential equation is given implicitly by
= c, for any constant c, where y > 0.
![Show that the differential equation xºy7 + x(1+yº)y' = 0 is not
exact, but becomes exact when multiplied by the integrating factor
1
μ(x, y)
=
Then solve the equation.
xy¹
The given equation is not exact, because My
=
which is different from N
=
After multiplication with µ(x, y), the equation is exact, because then
My=N
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef0643ce-9398-4953-be86-6ed6d5307bb0%2F2da0b501-0bfe-48f7-aca4-6cb99949f159%2F6xzr1np_processed.png&w=3840&q=75)
Transcribed Image Text:Show that the differential equation xºy7 + x(1+yº)y' = 0 is not
exact, but becomes exact when multiplied by the integrating factor
1
μ(x, y)
=
Then solve the equation.
xy¹
The given equation is not exact, because My
=
which is different from N
=
After multiplication with µ(x, y), the equation is exact, because then
My=N
-
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