onsider the differential equation: y` + 2y` + y = 2e* [1 – xsen(3x)]. The form of the particular solution - is O a) yp = Az²e+ [(Bx+ Ca² )sen(3z) + (Dx + Ea² ) cos(3x)] e Ob) Yp =D Aez Ae [(B+ Ca² )sen(3z) + (D + Ex²) cos(3z)]| Oc) Yp = Ae [B+ (Ca + D)sen(3x)] Od) Yp = Are +[(B+Cz)sen(3x) + (D+ Ex) cos(3z)] ez

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the differential equation: y" + 2y +y = 2e-* [1 – xsen(3x)]. The form of the particular solution
У, is
a) yp = Aa?e + [(Bx + Ca² )sen(3x) + (Dr + Ea² ) cos(3x)] e
= Ae- [(B+ Ca²)sen(32) + (D+ Ex? ) cos(3x)]
|3D
Ob) Yp
Oc) Yp =
O d) yp = Are + [(B+Cx)sen(3x) + (D+ Ex) cos(3r)] e
= Ae [B+ (Ca + D)sen(3r)|
Transcribed Image Text:Consider the differential equation: y" + 2y +y = 2e-* [1 – xsen(3x)]. The form of the particular solution У, is a) yp = Aa?e + [(Bx + Ca² )sen(3x) + (Dr + Ea² ) cos(3x)] e = Ae- [(B+ Ca²)sen(32) + (D+ Ex? ) cos(3x)] |3D Ob) Yp Oc) Yp = O d) yp = Are + [(B+Cx)sen(3x) + (D+ Ex) cos(3r)] e = Ae [B+ (Ca + D)sen(3r)|
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