Find the solution. (D* + 1802 + 81)y = 0 Ay = (c, + c,)cosår + (cz+c,)sin3r. ® y = (c, + cx)cos3r + (c,+c;r) sin3r. y = (c, + czx)e²*coxar + (c,+cx)e²^sin3x. y = (c, + c,x)e¯*cos3x + (c,+€gx) 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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Find the solution.
(D4 + 1802 + 81)y = 0
A
y = (e, + c,)cos3x + (c,+c) sin3x.
y = (c, + cx)cos3x + (cz+c_x) sin3x.
© y = (c, + c)e²"cos3x + (cz+cx)e²"sin3x.
y = (c, + cx)e¯*cos3x + (c,+cx) sin3x.
Transcribed Image Text:Find the solution. (D4 + 1802 + 81)y = 0 A y = (e, + c,)cos3x + (c,+c) sin3x. y = (c, + cx)cos3x + (cz+c_x) sin3x. © y = (c, + c)e²"cos3x + (cz+cx)e²"sin3x. y = (c, + cx)e¯*cos3x + (c,+cx) sin3x.
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