- #1
nitin7785
- 5
- 0
Dear All,
I have following first order nonlinear ordinary differential and i was wondering if you can suggest some method by which either i can get an exact solution or approaximate and converging perturbative solution.
[tex]\frac{dx}{dt} = 2Wx + 2xy - 4x^{3}[/tex][tex]\frac{dy}{dt} = \gamma \, (x^{2} - y)[/tex]
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, 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).
I have following first order nonlinear ordinary differential and i was wondering if you can suggest some method by which either i can get an exact solution or approaximate and converging perturbative solution.
[tex]\frac{dx}{dt} = 2Wx + 2xy - 4x^{3}[/tex][tex]\frac{dy}{dt} = \gamma \, (x^{2} - y)[/tex]
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, 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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