Determine which of the following is the particular solution for the differential equation (D² − 2D+2) y = ( − (− 8 8cos3x + 24sin3x) e¯* None of the choices = (-2 y = (−24cos3x + 8sin3x) e¯* -8cos3x + 24sin3x) e¯" |_ y = (24cos3.x — 8sin3x) ex P y = 24cos3x + - 8sin3x)e¯

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine which of the following is the particular solution for the differential equation (D² − 2D + 2) y = (-8cos3x + 24sin3x) e
-X
None of the choices
-.1
○ y = ( − 24cos3x + 8sin3.x) e
y
= ( − 8cos3x + 24sin3x) e¯³
=
(24cos3x — 8sin3x) e¯
-.1
-1
= (24cos3x + 8sin3x) e-
2
Transcribed Image Text:Determine which of the following is the particular solution for the differential equation (D² − 2D + 2) y = (-8cos3x + 24sin3x) e -X None of the choices -.1 ○ y = ( − 24cos3x + 8sin3.x) e y = ( − 8cos3x + 24sin3x) e¯³ = (24cos3x — 8sin3x) e¯ -.1 -1 = (24cos3x + 8sin3x) e- 2
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