sloution for my question

The third order filter with the differential equation is as follows:

y[n]-1.76y[n-1]+1.1829y[n-2]-0.2781y[n-3]=0.0181x[n]+0.0543x[n-1]+0.0543x[n-2]+0.0181x[n-3]

Determine the type of filter by drawing the frequency and phase.

[Raj]

Homework:

https://www.mathworks.com/matlabcentral/answers/8626-how-do-i-get-help-on-homework-questions-on-matlab-answers

Hint:

Take z transform and get the discrete transfer function from the given differential equation. Once you have the transfer function you can easily plot the Bode plot to get frequency and phase response. Based on literature you can check the type of filter. Hope this helps. Get back in case you get stuck somewhere!