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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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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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