Nx - M, If R, where R is a function depending only on the quantity z = xy, then the differential equation xM – yN M + Ny = 0 has an integrating factor of the form R(E)dr ra = (2)11 Find an integrating factor and solve the given equation. ( ) + (-)-0 24y dy dx 8x 24x + y y 9x2 8xy+ ху + 8y = c µ(xy) 2 9x2 µ(xy) ху 8y+ + 8y? 2 1 8x'y + ху 9x3 + 8y = , µ(xy) 2 µ(xy) = xy, 8xy+ 9x2 + 8y3 = 2 H(xy) = xy, 8x2y+ 9x3 + 8y2 = c

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...
icon
Related questions
Question
Nx - M,
If
R, where R is a function depending only on the quantity z = xy, then the differential equation
xM – yN
M + Ny = 0
has an integrating factor of the form
R(E)dr
ra = (2)11
Find an integrating factor and solve the given equation.
( ) + (-)-0
24y dy
dx
8x
24x +
y
y
9x2
8xy+
ху
+ 8y = c
µ(xy)
2
9x2
µ(xy)
ху
8y+
+ 8y?
2
1
8x'y +
ху
9x3
+ 8y = ,
µ(xy)
2
µ(xy) = xy, 8xy+
9x2
+ 8y3 =
2
H(xy) = xy, 8x2y+
9x3
+ 8y2 = c
Transcribed Image Text:Nx - M, If R, where R is a function depending only on the quantity z = xy, then the differential equation xM – yN M + Ny = 0 has an integrating factor of the form R(E)dr ra = (2)11 Find an integrating factor and solve the given equation. ( ) + (-)-0 24y dy dx 8x 24x + y y 9x2 8xy+ ху + 8y = c µ(xy) 2 9x2 µ(xy) ху 8y+ + 8y? 2 1 8x'y + ху 9x3 + 8y = , µ(xy) 2 µ(xy) = xy, 8xy+ 9x2 + 8y3 = 2 H(xy) = xy, 8x2y+ 9x3 + 8y2 = c
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning