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## Homework Statement

Find the Impulse response of this system

3y[n]+4y[n-1]+y[n-2] = x[n] + x[n-1]

## Homework Equations

Eigenvalues = -1/3 and -1

h

_{c}[n] = k

_{1}[-1/3]

^{n}+k

_{2}[-1]

^{n}

3h[n] +4h[n-1] +h[n-2] = δ[n] + δ[n+1]

## The Attempt at a Solution

I know that normally we would plug in h

_{c}[n] for two values of n into our given equation giving us a system of two equations for k

_{1}and k

_{2}

However, since the answer for this inolves δ[n] + δ[n+1] I feel like there is a different approach.

I'm not really sure where to go after finding h

_{c}[n]