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Part 4[Discrete-time LTI System Simulafion] Suppose your ID is abcdef Given a discrete-time LTI system whose difference equation is given by: y[n]+y[n2]=2x[n1]x[n2] with the initial conditions y[1]=0.y[2]=1 and x[1]=x[2]=0. a) Find the response y[n] of the system to the following input: x[n]={10forn=0,1,2,,a+b+c+a+e+felsewhere using: i. The recur function ii. The filter function b) Using stem and subplot commands to plot the two outputs generated in a). Note: In MATLAB, x[n] can be generated using the command: x= ones (1,21)