Find the solution.(D5 + D4 - 7D3 - 11D2 - 8D - 12)y=0y = c,e* + (c,+cx)e-+e=*(c_cosx+c,A= c.e+e cosx+€ gsinxy = cy = c,e"+ (c,+ct)e=+c,cosx + c gsinx-2xy = c,e-2"+ (€,+Czx)e*+c_cosr+c_sinx

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(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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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Question

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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