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If x(t)= ∂(t-1) and y(t)= e^-t. This is an example for ______ system.

If x(t)= ∂(t-1) and y(t)= e^-t. This is an example for ______ system.

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asked Sep 28, 2022 in Signals and Systems by Lucy (1.2m points)

If x(t)= ∂(t-1) and y(t)= e^-t. This is an example for ______ system.

(a) Stable

(b) BIBO

(c) Bounded input

(d) Unstable

I got this question in unit test.

This intriguing question originated from Properties of Systems topic in division Signals and Systems Basics of Signals and Systems

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1 Answer

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answered Oct 7, 2022 by leeyal (42.1k points)

Correct answer is (d) Unstable

For explanation: In this example, the input is finite and output is not finite. Hence the given system is unstable.

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