(D2 – 6D + 45)³y = 0 a. y Ce 3xcos6x + C2xe 3*cos6x + +C3e 3*sin6x + C4xe 3*sin6x b. y = Ce*cos6x + C2xe3xcos6x + C3x2e3*cos6x + C4e3*sin6x + C;xe*sin6x + Cgx'e3*sin6x C. y Ce3xcos6x + C2xe 3 cos6x + C3x²e-3xcos6x + C4e 3*sin6x + C5xe 3*sin6x + Cgx²e-3*sin6x d. y Cecos6x + C2xe%cos6x + C3e3 cos6x + C4xe3*sin6x — 3х.

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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(D2 – 6D + 45)³y = 0
a. y Ce 3xcos6x + C2xe 3*cos6x + +C3e 3*sin6x + C4xe 3*sin6x
b. y = Ce*cos6x + C2xe3*cos6x + C3x2e3 cos6x + C4e3*sin6x +
C;xe*sin6x + Cgx'e3*sin6x
-3x
C. y Ce3xcos6x + C2xe 3 cos6x + C3x²e-3xcos6x + C4e 3*sin6x +
Csxe 3*sin6x + Cgx²e-3*sin6x
d. y Cecos6x + C2xe%cos6x + C3e3 cos6x + C4xe3*sin6x
— 3х.
Transcribed Image Text:(D2 – 6D + 45)³y = 0 a. y Ce 3xcos6x + C2xe 3*cos6x + +C3e 3*sin6x + C4xe 3*sin6x b. y = Ce*cos6x + C2xe3*cos6x + C3x2e3 cos6x + C4e3*sin6x + C;xe*sin6x + Cgx'e3*sin6x -3x C. y Ce3xcos6x + C2xe 3 cos6x + C3x²e-3xcos6x + C4e 3*sin6x + Csxe 3*sin6x + Cgx²e-3*sin6x d. y Cecos6x + C2xe%cos6x + C3e3 cos6x + C4xe3*sin6x — 3х.
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