My Math Forum analytic solution of nonlinear ordinary differential equatio

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 November 7th, 2013, 12:22 AM #1 Newbie   Joined: Nov 2013 Posts: 1 Thanks: 0 analytic solution of nonlinear ordinary differential equatio I am a theoretical physicist and I have following first order non-linear ordinary differential and I was wondering if you can suggest some method by which either I can get an exact solution or approximate and converging perturbative solution. $\frac{dx}{dt}$ = $2Wx + 2xy - 4x^{3}$ $\frac{dy}{dt}$ = $\gamma$ ($x^{2} - y$ ) Kindly help me with any methods you that might work and it will be great if you can provide few references where I can read about those methods. Also, if somebody can help me about how I can use fixed point analytic method to solve this differential equations and some references on it, it will be very useful too. Thanks a lot in advance. PS. I tried homotopy perturbation analysis and simple iteration procedure to try to solve it and it diverges after some time (good only for early short times).

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