Determine the frequency response and the impulse response for the systems described by the following differential and difference equations:

$($c$)y[n]-\frac{1}{4}y[n-1]-\frac{1}{8}y[n-2]=3x[n]$

$-\frac{3}{4}x[n-1]$

$($d$)y[n]+\frac{1}{2}y[n-1]=x[n]-2x[n-1]$