Consider the ODE when a= 0.7 and b= 0.7

dy/dx + by = ae-(a+b)x , y(0) = 10

i) Solve the ODE subject to the given condition using exact methods and evaluate the solution y for x= 0.0(0.1)1.0 ( i.e from x=0 to x=1 in steps of 0.1)

ii) Using Eulers method approximate y for the same values of x as in part (i)

iii) compare and comment on your answers.

iv) Explain how the accuracy of the solution in part (ii) could be estimated if the exact solution was not known.

ANY HELP WOULD BE VERY HELPFUL.