function Y = Fsystem(x)
% this function is used in solving an example of 
% a system of non-linear equations
  n = length(x);
  Y = zeros(n,1);
  i = 2:n-1;
  Y(i) = (3-2*x(i)).*x(i)-x(i-1)-2*x(i+1) + 1;
  Y(n) = (3-2*x(n)).*x(n)-x(n-1) + 1;
  y(1) = (3-2*x(1)).*x(1)-2*x(2) + 1;
end