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July 12th, 2012, 10:45 AM   #1
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System of equations

can anybody help

4x-4y-xy=0
2x^2+2y^2-5xy=0
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July 12th, 2012, 11:02 AM   #2
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Math Focus: Calculus/ODEs
Re: System of equations

We are given the non-linear 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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