8. Solve the general solution of : (Using Method of Undetermined Coefficient) (D² – 6D+ 9y) = et O A. y = (c1 + c2 t + 0.5t^2)e^3t O B. y = (c1 + c2 t - 0.5t^2)e*3t O c. y = (c1 + c2 t + 0.5t^2)e^(- 3t) O D. y = (c1 + c2 t + 0.5t)e^3t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve no. 08 and show clear solutions.

8. Solve the general solution of : (Using Method of Undetermined
Coefficient)
(D² – 6D+ 9y) = et
O A. y = (c1 + c2 t + 0.5t^2)e^3t
O B. y = (c1 + c2 t- 0.5t^2)e^3t
O C. y = (c1 + c2 t + 0.5t^2)e^(- 3t)
O D. y = (c1 + c2 t + 0.5t)e^3t
Transcribed Image Text:8. Solve the general solution of : (Using Method of Undetermined Coefficient) (D² – 6D+ 9y) = et O A. y = (c1 + c2 t + 0.5t^2)e^3t O B. y = (c1 + c2 t- 0.5t^2)e^3t O C. y = (c1 + c2 t + 0.5t^2)e^(- 3t) O D. y = (c1 + c2 t + 0.5t)e^3t
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