Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Considering the diferential equation (1), which one of these would be the particular solution yp
²+2y'ty=
2e (1-x Sinc3x)/
%3D
Transcribed Image Text:²+2y'ty= 2e (1-x Sinc3x)/ %3D
Yp = Axe+[(B+Cx)sen(3x) + (D+ Ex) cos(3x)] e"
Yp = Ar e+ [(Bx +Ca² )sen(3æ) + (Dx + Ex² ) cos(3r)] e
Ae (B+Cx² )sen(3x) + (D+ Ex?) cos(3x)|
Yp
O Yp = Ae [B+(Cx+ D)sen(3æ)]
Transcribed Image Text:Yp = Axe+[(B+Cx)sen(3x) + (D+ Ex) cos(3x)] e" Yp = Ar e+ [(Bx +Ca² )sen(3æ) + (Dx + Ex² ) cos(3r)] e Ae (B+Cx² )sen(3x) + (D+ Ex?) cos(3x)| Yp O Yp = Ae [B+(Cx+ D)sen(3æ)]
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