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November 7th, 2013, 12:22 AM   #1
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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.

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= ( )

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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