3. Consider a bank account containing ao = the rate of 2% at the end of every month. Suppose that at the end of every month we contribute $5 to the account. - 20 dollars initially, which accrues interest at (a) Model this situation as a linear discrete equation of the form a, = ran-1 + b, n21 and integer. (b) Find the equilibrium value of the model equation. (c) Determine whether the equilibrium value is stable or unstable. (d) Solve for a,n the equation from (a) in terms of n.

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A: Solution :- In the context of differential equations, an equilibrium point (also known as a critical…

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