in python

Part 2: Implement a simulation code of the following difference equation: xt=axt1+b,x0=1 This equation is still linear, but now it has a constant term in addition to axt-1. Some real-world examples that can be modeled in this equation include fish population growth with constant removals due to fishing, and growth of credit card balances with constant monthly payments (both with negative b). Change the values of a and b, and see if the system's behaviors are the same as those of the simple exponential growth/decay model. For this part, make sure and provide your code and the plots (The visual output of codes regarding to different a and b)