Consider the differential equation y" +9 y = 6 (t) + 5 (t – 2) for a system that is initially quiescent (y (0) =0, y' (0) = 0)- (a) What is the transfer function? (b) What is the solution to this DE? O (H (t – 2) sin (3 t – 6) + sin (3 t)H (t)) O (H (t – 2) sin (t – 2) + sin (t)H (t)) – sin (3 t) O (H (t – 2) sin (t – 2) + sin (3 t)H (t)) O (3 H (t – 2) sin (t - 2) + sin (t)H (t)) – sin (3 t)

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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Find the transfer function
Consider the differential equation y" +9 y = 6 (t) + 8 (t – 2) for a system that is initially quiescent (y (0) = 0, y' (0) = 0)-
(a) What is the transfer function?
(b) What is the solution to this DE?
O (H (t – 2) sin (3 t – 6) + sin (3 t)H (t))
O (H (t – 2) sin (t – 2) + sin (t)H (t)) – sin (3 t)
* (H (t – 2) sin (t – 2) + sin (3 t)H (t))
(3 H (t – 2) sin (t- 2) + sin (t)H (t)) – sin (3 t)
Transcribed Image Text:Consider the differential equation y" +9 y = 6 (t) + 8 (t – 2) for a system that is initially quiescent (y (0) = 0, y' (0) = 0)- (a) What is the transfer function? (b) What is the solution to this DE? O (H (t – 2) sin (3 t – 6) + sin (3 t)H (t)) O (H (t – 2) sin (t – 2) + sin (t)H (t)) – sin (3 t) * (H (t – 2) sin (t – 2) + sin (3 t)H (t)) (3 H (t – 2) sin (t- 2) + sin (t)H (t)) – sin (3 t)
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