d²y dx + 9y = + 4x of the system defined by the equation dt2 dt a) Find the transfer function. b) Find the output y (t) of the system for x (t) = sin (3t). c) Consider the stability of the system for the given input.

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d²y
dx
+ 9y = + 4x of the system defined by the equation
dt2
dt
a) Find the transfer function.
b) Find the output y (t) of the system for x (t)= sin (3t).
c) Consider the stability of the system for the given input.
Transcribed Image Text:d²y dx + 9y = + 4x of the system defined by the equation dt2 dt a) Find the transfer function. b) Find the output y (t) of the system for x (t)= sin (3t). c) Consider the stability of the system for the given input.
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