Definition and example of a memoryless system/system with memory
Definition A system is said to be memoryless when the output of the system is dependent on the input of the system
eg.
y(t)= t+ $ e^(t-1) $
Systems with memory
A system is said to have memory when the output of the system is dependent on the past sample information.
eg.
y(t)=x(t)+x(t-1)