3.4 (a) The mathematical model of a system is given by the differential equation "i" = 3{]+r)p ------ (1) :1: Using analytical method the solution of the above differential equation is p= 3t+ 9H . Obtain the numerical solution of the differential equation (1) in the range 1.0 (0.2) 2.0 given the initial conditions that at t =1, when p =4. When x=1.6, compare the accuracy, correct to 3 decimal places, of the Euler and Euler Cauchy methods. (b) Analyse the accuracy and the applicability of the above numerical methods