What is Time Invariance?
Time Invariance describes a property of a system such that the input of signal shifted k units in time equals it's respective output shifted k units in time.
An example of time invariance
Suppose a system is modeled mathematically as: $ \ f(x)= 5x + 6 \ln(x) + 9 $
Let $ \x(t)=Ct $ be the input to this system. Then $ \y(t) = f(x(t)) $ Therefore
$ \ y(t)= $