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y(t) = 2x(t) + 3t ^d⁄dx x(t) Is an example for _____

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y(t) = 2x(t) + 3t ^d⁄dx x(t)  Is an example for _____

(a) Time invariant system

(b) Time varying system

(c) LTI system

(d) Time invariant and linear system

This question was addressed to me in an international level competition.

My doubt stems from Properties of Systems in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Right answer is (b) Time varying system

Explanation: The given system does not satisfy the condition {R{x(t-to)}=y(t-to)} hence the system is time varying.

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