The general solution of the homogeneous differential equation associated with the equation (4D^2+4D+1)y=xe^-x/2 sin corresponds to: A- B- C- D- y=c₁e=¹/² + ₂xе-1/2 y = C₁e²z+c₂xе²x y = c₁e-¹/² + ₂xe=¹/² + C3 y = C₁e²c₂e C₂e-2/2

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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The general solution of the homogeneous differential equation associated with the equation
(4D^2+4D+1)y=xe^-x/2 sin corresponds to:
A-
B-
C-
D-
y=c₁e=¹/² + ₂xе-1/2
y=c₁e²¹ +c₂xе²
y=c₁e=¹/² + ₂xе-1/² + €3
y=c₁e²
-
C₂e-2/2
Transcribed Image Text:The general solution of the homogeneous differential equation associated with the equation (4D^2+4D+1)y=xe^-x/2 sin corresponds to: A- B- C- D- y=c₁e=¹/² + ₂xе-1/2 y=c₁e²¹ +c₂xе² y=c₁e=¹/² + ₂xе-1/² + €3 y=c₁e² - C₂e-2/2
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