(d) y" + y = 2x sin(x).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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(d) please

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
homogeneous problem, and also a particular solution to the
inhomogeneous problem.)
(a) y" + 3y' + 2y = 6x - 1.
(b) y"+y=x²ex.
(c) y" - y'-y = sin(x).
(d) y" + y = 2x sin(x).
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 homogeneous problem, and also a particular solution to the inhomogeneous problem.) (a) y" + 3y' + 2y = 6x - 1. (b) y"+y=x²ex. (c) y" - y'-y = sin(x). (d) y" + y = 2x sin(x).
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