الفهرس 
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Abstract
Our aim in this thesis which consists of three chapters is to study the periodic solutions of a quasi-liner second order differential equation analytically and numerically .At the end of this chapter we give a comparison between the results using generalized averaging method for n=2,and the results obtained by spline apporoximation.the computer programs have been designed using fortran Iv for the perkin elmer1625computer at el-minia university.