Question 6 Find the solution. (4D3+12D2+13D+10)y = 0. /½(c,cosx+c_sinx) + cge -2x y = c ,xe-2* + e A y = c,e-2" +e /?(c,cosr +c sinx) В -3x y = c,e-* +e*(c,cosr +c,sinx) D) y = c,e2" +e**/?(c,cosr + c ,sinx)

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 6
Find the solution.
(4D3+12D2+13D+10)y = 0.
-/2(c
-2x
-2x
A y = c ,xe
c _xe¯2* + e
cosx+c ,sinx) +c¸e
y = c,e-2"+e /?(c,cosr + c ,sinx)
/½(c,cosx +c sinx)
В
O y = c,e-+e*(c,cosx+€ zsinx)
C
y = c,e2"+e
-3:/2(c,cosr + c sinx)
D
Transcribed Image Text:Question 6 Find the solution. (4D3+12D2+13D+10)y = 0. -/2(c -2x -2x A y = c ,xe c _xe¯2* + e cosx+c ,sinx) +c¸e y = c,e-2"+e /?(c,cosr + c ,sinx) /½(c,cosx +c sinx) В O y = c,e-+e*(c,cosx+€ zsinx) C y = c,e2"+e -3:/2(c,cosr + c sinx) D
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