Consider a tank containing a liquid, and the rate of change of the liquid's height (h) with respect to time (t) is proportional to the difference between the current height and a reference height. Assume k is a positive constant representing the rate of flow in or out of the tank. [5 Marks] (a) Determine the differential equation of the model above. = 4 at t = 0. Determine the solution of the (b) Given k 0.1, href 2 and ho differential equation based on the given parameters and initial condition. = = [15 Marks] (c) Based on your answer in (b), explain about the absolute value. [5 Marks]