Question

y(t) = 5x(t) + 6 ^d⁄dx x(t) Is an example for _____ system.

(a) Time varying

(b) Time invariant

(c) Time varying and linear

(d) Time varying and non linear

I had been asked this question during an interview.

This is a very interesting question from Properties of Systems topic in division Signals and Systems Basics of Signals and Systems

Answer 1

The correct option is (b) Time invariant

Easy explanation: The given system satisfies the condition {R{x(t-to)}=y(t-to)} hence the system is time invariant.