Show that a system described by is time variant, BIBO unstable, causal, dynamic and noninvertible.

What will be an ideal response?




If x (t) is a constant, y(t) grows without bound in positive time. Therefore the system is BIBO unstable.



y(t) depends only on values of x(t) occurring earlier in time. Therefore the system is causal and dynamic.





Therefore at time t = 0, x(t) is undefined and the system is not invertible.

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