Question 3 Describe the assumptions molved in the application of the Krylov- Bogolubov- Mitropolsky averaging method to the equation dix + Ef n, da + 2 = = [cos ( ME ) where E is small and positive. Implement this procedure in the case where 74 ) = ( x2-1 ) dre and show that , if u= ro + OCE) and dor= 0( 6 ) at to Where ro is a constant and I2 is not close to unity, t' solution to Oles is 32 n ( EH = rlos(H - I EV SIn ( 3+) + El CSS) 1 -12 where r is given by ro ( 4 - v 2 ) 12 ( 4-18 ) = exp ( - Ex ). 1 40 marks ]