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Quadratic non-linear ODE.
Hi, how are you? We are almost graduated physics students from south america. Due to our final work, certain coupled non-linear ODE systems have appear, and we don't have any idea about how to resolve it, in spite we attempt to. For our purposes, we would need analytical solutions -if there exist- for the following systems, dx/dt = ax^2 + by^2 dx/dt = cx^2 dx/dt = axy + by^2 dy/dt = cxy + dx^2 Where a, b, c and d are known constants paremeters of the problem. We would be very grateful if you can help us with this matter. We were able to fit numerically the solutions for both systems, in a relatively wide range of values, but we did not find anything aboout the analytical solutions for none of the systems. In brief words, for our work we would need the explicit expressions for x(t) and y(t), if they are known, of course. If you can help us, please contact us at, estudfis at yahoo.com.au We are very grateful, since this moment. Sincerely, Javier Krshpa Sánchez and Héctor Rivera Firpo Montevideo,Uruguay. http://careers.yahoo.com.au - Yahoo! Careers - 1,000's of jobs waiting online for you!