Homework Help is Here – Start Your Trial Now!
Math
Calculus
dy If y,,y, are two solutions of the differentialequation +P(x),y%3DQ(x), dx Thenprove that y = y, +C(y, - y2)is the general solution of the equation where Cis an arbitrary constant.For what relation between the constant a, b will the linear combination a y, +by, also be a solution?

dy If y,,y, are two solutions of the differentialequation +P(x),y%3DQ(x), dx Thenprove that y = y, +C(y, - y2)is the general solution of the equation where Cis an arbitrary constant.For what relation between the constant a, b will the linear combination a y, +by, also be a solution?

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
dy If y,,y2 are two solutions of the differential equation +P(x),y=Q(x), dx Then prove that y = y, +C(y, - Y2)is the general solution of the equation where Cis an arbitrary constant.For whatrelation between the constant a, b will the linear combinationay, +by, alsobe a solution?
Transcribed Image Text:dy If y,,y2 are two solutions of the differential equation +P(x),y=Q(x), dx Then prove that y = y, +C(y, - Y2)is the general solution of the equation where Cis an arbitrary constant.For whatrelation between the constant a, b will the linear combinationay, +by, alsobe a solution?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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