Given the ff. second-order differential equation: y[n] + 1.4y[n-1] + 0.45y[n-2] = x[n] - x[n-1] with an input of x[n] = 0.1 n u[n] and initial conditions y[-1] = 0 and y[-2] = 1 . Find the following:...

Given the ff. second-order differential equation:

y[n] + 1.4y[n-1] + 0.45y[n-2] = x[n] - x[n-1]

with an
input of x[n] = 0.1ⁿu[n]
and
initial conditions y[-1] = 0 and y[-2] = 1.

Find the following:

1. Zero-input response

2. Zero-state response

3. Impulse response