b[c] + 0.4b[c - 1] - 0.25b [c - 2] = a[c] - a[c - 1] The linear difference equation above shows the relationship between an input a[c] & output b[c] of a Linear Time-Invariant(LTI) system at a...

b[c] + 0.4b[c - 1]  - 0.25b [c - 2] = a[c] - a[c - 1]
The linear difference equation above shows the relationship between an input a[c] & output b[c]  of a Linear Time-Invariant(LTI) system at a manufacturing plant.
Determine the following
a. Impulse response
b. Frequency response

of the system