Use MATLAB command filter and filtic to determine the first 50 values of the output of the systems described by the following difference equations with input and initial conditions as specified: a. y(n) - 1.143y(n-1) + 0.4128y(n-2) = 0.0675x(n) + 0.1349x(n-1) + 0.0675x(n-2) Determine zero-state step response. %3D b. Same as (a) except that input is 0, y(-1) = 1, y(-2) = 2. c. Same as (a) except that initial conditions are zero for following sinusoidal inputs x1(n) = cos(n*pi/10) x2(n) = cos(n*pi/5) x3(n) = cos(7*n*pi/10) %3D d. y(n) - 0.5y(n-1) 2x(n), y(-1) = 3, x(n) = 2(-)"u(n) e. y(n) - (1/9)y(n-2) = x(n-1), y(-1) = 1, y(-2) = 0, x(n) = u(n) f. y(n)- (1/4)y(n-1)- (1/8)y(n-2) = x(n) + x(n-1), y(-1) = 2, y(-2) = -1, x(n) = 2"u(n) g. y(n)- (3/4)y(n-1) + (1/8)y(n-2) = 2x(n), y(-1) = 1, y(-2) = -1, x(n) = 2u(n) %3D %3D %3D %3D