please state all assumption

+5 QUESTION 10 A particular process is modeled by the following differential equation (in perturbation variable form): 23 y(t) d'y(t) dyt) dit) +8 + 4y(t) = 2 + 3u(t) dt3 dt dt dt where y(t) is the output variable and u(t) is the input variable. All initial conditions are zero since the variables are deviations from the initial conditions of the process parameters i. Find the Laplace transform of the above equation (6 marks) ii. Find the transfer function of the process (2 marks) iii. Find the response of the system given that there is a step change of magnitude 2 in the input (10 marks) To what value will the output y(t) ultimately settle? (2 marks) iv