(D5 + D4 - 7D3 - 11D2 - 8D - 12)y=0 y = c,e* + (c,+czx)e-+e"(c,cosr +€ sinx) A B © y = c,e+ (c,+czt)e¯*+c_cosr+c sinx y = c,e- + (€z+cz¥)e*+c_cosr+c_sinx D
(D5 + D4 - 7D3 - 11D2 - 8D - 12)y=0 y = c,e* + (c,+czx)e-+e"(c,cosr +€ sinx) A B © y = c,e+ (c,+czt)e¯*+c_cosr+c sinx y = c,e- + (€z+cz¥)e*+c_cosr+c_sinx D
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:Find the solution.
(D5 + D4 - 7D3 - 11D2 - 8D - 12)y=0
y = c,e* + (c,+cx)e-+e=*(c_cosx+c,
A
= c.e
+e cosx+€ gsinx
y = c
y = c,e"+ (c,+ct)e=+c,cosx + c gsinx
-2x
y = c,e-2"+ (€,+Czx)e*+c_cosr+c_sinx
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