Homework Help is Here – Start Your Trial Now!
Math
Calculus
Which of the following DEs is not homogeneous? (1) xy-y² = d dx (3) sin dx+ + In dy = (2) (x² – xy)dx – (y² + xy)dy = 0 (4) хду— уфх %3D 0

Which of the following DEs is not homogeneous? (1) xy-y² = d dx (3) sin dx+ + In dy = (2) (x² – xy)dx – (y² + xy)dy = 0 (4) хду— уфх %3D 0

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

With solution please

Which of the following DEs is not homogeneous? dy (1) xy- y = dx (3) dx+ + In dy = 0| (2) (x² – xy)dx – (y² + xy)dy = 0 (4) хӑу - уӑх — о
Transcribed Image Text:Which of the following DEs is not homogeneous? dy (1) xy- y = dx (3) dx+ + In dy = 0| (2) (x² – xy)dx – (y² + xy)dy = 0 (4) хӑу - уӑх — о
Using the substitutions y =vx and dy= vdx+ xdv, the DE with homogeneous coefficients (x² + y²)dx + xydy = 0 reduces to (1) (2v² +1)dx + xdv = 0 (3) (2v? +1)dr+ vxdv = 0 (2) (2v² +1)dx – vxdv = 0 (2) (4) (2v2 – 1)dx + vxdv = 0
Transcribed Image Text:Using the substitutions y =vx and dy= vdx+ xdv, the DE with homogeneous coefficients (x² + y²)dx + xydy = 0 reduces to (1) (2v² +1)dx + xdv = 0 (3) (2v? +1)dr+ vxdv = 0 (2) (2v² +1)dx – vxdv = 0 (2) (4) (2v2 – 1)dx + vxdv = 0
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS