After modelling an engineering problem, the following differential equation has been obtained,

+ = ^ + cos (), where the parameters , and are all strictly positive. Set the initial condition as (0) = 9 by considering TWO (2) cases: = and b

For case a=b, let the value be a=b=2, k=1

For case 2: let the value be a=k=2, b= 1

For each case, solve the initial value problem using a Heun's numerical methods from 0 to 2 with a step size of 1. Summarize the results in tables as well as graphically please.