Time Invariance
A system is time-invariant if for any system with input $ x(t)\! $ and output $ y(t)\! $ then the response from an input $ x(t-t_0)\! $ will be $ y(t-t_0)\! $.
Example of a Time Invariant System
Let $ y(t)=2x(t)+2\! $. The system is time invarient if for input $ y(t)=2x(t-t_0)+2\! $ the response is $ y(t)=2x(t)+2\! $.
