Question 6 Find the solution. (D4 + 18D2 + 81)y = 0 y = (c, + c,x) cos3x + (c,+cx) sin3x. B y = (c, + c,) cos3x + (c,+c) sin3x. %3D y = (c, + c,x)e²"cos3x + (c,+c)e sin3x. C Dy = (c, + c,x)e*cos3x + (c3+cx) sin3x.
Question 6 Find the solution. (D4 + 18D2 + 81)y = 0 y = (c, + c,x) cos3x + (c,+cx) sin3x. B y = (c, + c,) cos3x + (c,+c) sin3x. %3D y = (c, + c,x)e²"cos3x + (c,+c)e sin3x. C Dy = (c, + c,x)e*cos3x + (c3+cx) sin3x.
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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Transcribed Image Text:Question 6
Find the solution.
(D4 + 18D2 + 81)y = 0
y = (c, + c,x) cos3x + (c,+cx) sin3x.
By = (c, + c,) cos3x + (c,+c) sin3x.
%3D
y = (c, + cx)e"cos3x + (c,+cx)e²%sin3x.
C
Dy = (c, + c,t)e"cos3x + (c,+cx) sin3x.
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