1. Using y[−1] = 10 and input x[n] = e −n u[n], find the total response of a system specified by the equation y[n + 1] + 2y[n] = x[n + 1]. 2. To pay off a loan of M dollars in N payments using a fixed...

1. Using y[−1] = 10 and input x[n] = e⁻ⁿu[n], find the total response of a system specified by the equation

y[n + 1] + 2y[n] = x[n + 1].

2. To pay off a loan of M dollars in N payments using a fixed monthly payment of P dollars, show that