=C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

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.CR: Chapter 11 Review
Problem 28CR
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Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x.

 

Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x
O A. y = C₁e(-3x) + C₂e(-2x) - 6xe(-3x) - 5e(2x)
OB. y = C₁e(-3x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)
OC.y = C₁e(3x) + C2e (2x) + 6xe(3x) + 5e(-2x)
O D.y = C₁e(3x) + C₂e(2x) - 6xe (3x) - 5e(-2x)
Transcribed Image Text:Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y = C₁e(-3x) + C₂e(-2x) - 6xe(-3x) - 5e(2x) OB. y = C₁e(-3x) + C₂e(-2x) + 6xe(-3x) + 5e (2x) OC.y = C₁e(3x) + C2e (2x) + 6xe(3x) + 5e(-2x) O D.y = C₁e(3x) + C₂e(2x) - 6xe (3x) - 5e(-2x)
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