SOLVED: The zero-input response (also known as natural response OT unforced response is the system'response from a non-zero initial condition while the input signal to the system is zeroFind an analytic expression for the balance of your account through solving the difference equation (1) when v is the zero signal, i.e vn] 0 for all n 2 0. Then y[o] Yo; and y[n] is the zero-input response of the systemIn Questions assume that at the beginning of month 0 the loan is S1O and the monthly interest r