function [ x ] = evalImplicitEuler( lambda, x0, n )
%evalImplicitEuler Evaluate the implicit Euler for dx/dt = lambda x
%   Detailed explanation goes here

x = zeros(1, n+1);
x(1) = x0;

tau = 1.0 / n;

for k = 1:n
    x(k+1) = x(k) / (1.0 - tau * lambda);
end

end