Compute the impulse responses of the systems below:

(a) \(y(n)=5 x(n)+3 x(n-1)+8 x(n-2)+3 x(n-4)\)

(b) \(y(n)+\frac{1}{3} y(n-1)=x(n)+\frac{1}{2} x(n-1)\)

(c) \(y(n)-3 y(n-1)=x(n)\)

(d) \(y(n)+2 y(n-1)+y(n-2)=x(n)\).