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Item Analytical Solution of Quadratic Nonlinear Oscillator by Extended Iteration Method(Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh., 2017-08) Flora, Shajia Afrin; Haque, Dr. B. M. IkramulA modified approximate analytic solution of the quadratic nonlinear oscillator '' x+ x2 = 0'' has been obtained based on an Extended Iteration method. In this study the Fourier series and utilized indispensable truncated terms have been used in each step of Extended Iterations. The approximate frequencies obtained by this technique show a good agreement with the exact frequency. The percentage of error between exact frequency and our third approximate frequency is as low as 0.001%.There is no algebraic complexity in our calculation that is why this technique is very easy. The results have been compared with the exact results and other existing results that are convergent as well as consistent.