d 2 y(z)/dz 2 + 3(dy(z)/dz) + 2y(z) = 3(dx(z)/dz) +2x(z) The above is a linear differential equation. Let's assume x(z) and y(z) as the input and output of an RC sytem respectively. a.Suppose there is...

d²y(z)/dz²
+ 3(dy(z)/dz) + 2y(z) = 3(dx(z)/dz) +2x(z)

The above  is a linear differential equation. Let's assume x(z) and y(z) as the input and output of an RC sytem respectively.

a.Suppose there is an application of an impulse x(z) = δ(z) determine the output y(z) of the system.

b.Determine the  frequency response &  transfer function of the system Also plot the 0-pole locations of the system.