Consider the non-unity feedback system shown below:
Where R(s) is the Laplace transform of input and C(s) is the Laplace transform of output. A unit step input r(t) = u(t) produces the output \(c\left( t \right) = \frac{1}{3}\left( {1 - {e^{ - 3t}}} \right)u\left( t \right).\) The value of k is ______.
Enter numerical value using the virtual keypad. Round off where necessary.