What is a Behavioural Equation in Mathematics and give an example of it
A behavioural equation is an equation that models the behavior of a system over time. It describes how a particular variable changes with respect to time or another independent variable.
Example of a behavioural equation:
\[ y_t = 0.5y_{t-1} + 2t \]
In this equation, \(y_t\) represents the value of the variable at time \(t\), \(y_{t-1}\) represents the value of the variable at the previous time step, and \(t\) is the current time step. This equation describes how the variable changes over time as a function of its previous value and the current time step.