(d) y" – 8y' + 20y = 100x² – 169xe". %3D - (e) y" – y' – y = exp(5x). %D | (f) y" – 2y' + 5y = e" sin(2x).

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

D E and F please as the last time i asked it was incorrect

1. Find the general solution of these constant coefficient linear inhomoge-
neous ODES, using the method of undetermined coefficients. (Note:
you will need to find both the general solution to the homo-
geneous problem, and a particular solution to the inhomoge-
neous problem.)
(a) y" + 9y = 18.
(b) y" + y' – 6y = 36x.
(c) y" = 20x³.
(d) y" – 8y' + 20y = 100x? – 169xe".
(e) y" – y' – y = exp(5x).
(f) y" – 2y' + 5y = e" sin(2x).
Transcribed Image Text:1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the method of undetermined coefficients. (Note: you will need to find both the general solution to the homo- geneous problem, and a particular solution to the inhomoge- neous problem.) (a) y" + 9y = 18. (b) y" + y' – 6y = 36x. (c) y" = 20x³. (d) y" – 8y' + 20y = 100x? – 169xe". (e) y" – y' – y = exp(5x). (f) y" – 2y' + 5y = e" sin(2x).
Expert Solution
steps

Step by step

Solved in 6 steps with 6 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