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May 5th, 2013, 11:47 AM  #1 
Newbie Joined: May 2013 Posts: 3 Thanks: 0  solution to this differential equation
Hi. Working in a research project, we came along this set of coupled differential equations: S1 = (p1 + q11 · Y1 + q12 · Y2) · (1 ? Y1 ? Y2) S2 = (p2 + q22 · Y2 + q21 · Y1) · (1 ? Y1 ? Y2) where S1 and S2 are the derivative functions with respect to time of Y1 and Y2 respectively. p1, p2, q11, q22, q12 and q21 are all constants of the model. Are math skills are limited. Can you help us solve this set of equations (if possible)? Thanks a lot!! 
May 5th, 2013, 03:24 PM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: solution to this differential equation Hello, jazz_1969! Quote:
All those subscripts are dazzling and blinding. Let's make some substitutions: [color=beige]. . [/color] Then we have:[color=beige] .[/color] Maybe someone is willing to work on it now . . .  
May 5th, 2013, 08:52 PM  #3 
Newbie Joined: May 2013 Posts: 3 Thanks: 0  Re: solution to this differential equation
hehe... thank you soroban! 

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