By means of the extended Krylov-Bogoliubov-Mitropolskii method, an asymptotic solution of second order over-damped nonlinear system is found. The results obtained by this method are exactly same as the results obtained by Murty et al. (1969). The determination of the solution followed by Murty et al. (1969) is too much laborious and cumbersome. On the contrary, the present method is very simple and easier. It is illustrated by an example.
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