Find the solution. (D4 + 18D2 + 81)y = 0 A y = (c, + c,x)e²"cos3x + (c,+cx)e2'sin3x. y = (c, + c,) cos3x + (c,+c) sin3x. © y = (c, + cx) cos3x + (c,+cx) sin3x. Dy = (c, + ct)e*cos3x + (c,+cx) sin3x.

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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Question 16
Find the solution.
(D4 + 18D2 + 81)y = 0
Ay = (c, + ct)e"cos3x + (c,+cx)e2"sin3x.
B
y = (c, + c,) cos3x + (c3+c) sin3x.
O y = (c, + c*) cos3x + (cz+ct) sin3x.
Dy = (c, + ct)e¯"cos3x + (c,+cx) sin3x.
Transcribed Image Text:Question 16 Find the solution. (D4 + 18D2 + 81)y = 0 Ay = (c, + ct)e"cos3x + (c,+cx)e2"sin3x. B y = (c, + c,) cos3x + (c3+c) sin3x. O y = (c, + c*) cos3x + (cz+ct) sin3x. Dy = (c, + ct)e¯"cos3x + (c,+cx) sin3x.
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