M.Alhaz Uddin ,M.Abdus Satter,



doffing equation ,damping effect ,homotopy perturbation ,varying coefficients ,


In this artical, an approximate technique has been presented for obtaining the analytical approximate solutions of second order strongly  nonlinear differential systems with small damping and slowly varying coefficients based on the He's homotopy perturbation and the extended from of the Krylov-bogoliubov-Mitroppolskii method. An example is given to illustrate the efficiency and implementation of the presented method. The first order analytical approximate solutions obtained by the presented method show a good  agreement with the corresponding numerical solutions for the several damping effects.


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