- 4 dt2 Q1: The variation of concentration in a reactor is modelled as an initial value problem by the following differential equation: dc() dcc) +3C (t) - 5) - 2 dt with initial conditions C(0) = C(O) = 0 Answer the following questions: (a) Apply the Laplace transform and construct deviation variables and partial fractions to determine the concentration evolution. A unit step change is given as I (8) = 0.24 (). [12.5 marks) (b) Determine the concentration evolution with symbolic MATLAB code and compare the output screen with your hand calculations. Add your code with output screen into the assignment document, [12.5 marks)