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.

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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.

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