Step 1 :Reflect on the concepts of linear and non-linear systems. The concepts that I needed to accommodate the concept of linear and non-linear systems in my mind include: Understanding of basic algebra, Understanding of graphs and coordinates, Understanding of the difference between linear and non-linear.
Step 2 :The simplest linear system I can imagine is the equation y = x. This is a straight line that passes through the origin, and it represents a system where the output (y) is directly proportional to the input (x).
Step 3 :The simplest non-linear system I can imagine is the equation y = x^2. This is a parabola that also passes through the origin, and it represents a system where the output (y) is proportional to the square of the input (x).
Step 4 :In my day to day life, there are many examples of linear and non-linear systems. For example, if I save a fixed amount of money every month, that is a linear system. On the other hand, if I invest money and it grows with compound interest, that is a non-linear system.
Step 5 :To get the graph of a linear system, I would plot the equation on a graph, using the coefficients of the equation to determine the slope and y-intercept of the line. For a non-linear system, I would also plot the equation on a graph, but the shape of the graph would depend on the specific form of the equation.