Example: Transfer function from impulse response

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ELEC270 Signals and Systems, week 9: System Transfer Function and Laplace Transform
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Consider an at rest linear system described by
y"+25y=2sint+5cos 5t
The response of this system will be
Decaying oscillations in time.
Oscillatory in time.
Growing oscillations in time:
None of the above.

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The impulse response of a discrete-time system is the system's output when the input is a unit step sequence.
True
False

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