d'y d , sd - 1- 53 - Goy - o y - GOy = 0 dx4 A. y- C, e + Ce* +[C, cos Cx) + Ca sinc)]e z* -2x B. y= C,e* + Cze™ + Cs xe* + C4x²e* B.y= -3x C,e* + Cze" + Cg xe + -3x C.y- Ce* + + Ce +[ Ca sin G) + Ca cos Cx)]e¯ * Cie 3* + CCz + C3x)e** + C4e"* - 2x

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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Question
Evaluate: *
d'y
+ 3dy
dx4
GOy =
53
*- G0y = 0
A. y= C, + Cze" + [C, cos (x) + Cq sinG?) ]ez*
B. y= C,e* +Cze* + C3 xe* + Cax*e*
-3x
+ Cze" + C3 xe^ +
%3D
-3x
C. y. Ce*
4x
+ CGe +[ Ca sin G) + Ca cos (x)]e *
D. y- Cre* + CCz + C3x)e** + Cye"*
O A
Transcribed Image Text:Evaluate: * d'y + 3dy dx4 GOy = 53 *- G0y = 0 A. y= C, + Cze" + [C, cos (x) + Cq sinG?) ]ez* B. y= C,e* +Cze* + C3 xe* + Cax*e* -3x + Cze" + C3 xe^ + %3D -3x C. y. Ce* 4x + CGe +[ Ca sin G) + Ca cos (x)]e * D. y- Cre* + CCz + C3x)e** + Cye"* O A
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