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July 12th, 2012, 10:45 AM  #1 
Newbie Joined: Jul 2012 Posts: 3 Thanks: 0  System of equations
can anybody help 4x4yxy=0 2x^2+2y^25xy=0 
July 12th, 2012, 11:02 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,205 Thanks: 512 Math Focus: Calculus/ODEs  Re: System of equations
We are given the nonlinear system: (1) (2) From (2) we may obtain: From (1) we obtain: Subtracting the latter result from the former, we find: So, we have 2 cases to consider: i) =y" /> This results in ii) =y+2" /> Substituting for x into (1), we find: This gives the solution sets: 

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