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problem with solving equation

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Dear all,

 

I know the solve command is somehow limited, and it cannot find the solution for all equations.

But I have two equations which must be solved and I am desperately looking for solutions!

 

My equations are listed below:

f1:= (1/2)*x + (2*alpha*beta*(x^2+3*y^2)^beta*x^2/(x^2+3*y^2) ) -(3/2)*y - (1/2)*alpha*(x^2+3*y^2)^beta = kappa*rho*c0^2

f2:=-(1/2)*y+ (2*alpha*beta*(x^2+3*y^2)^beta*y^2/(x^2+3*y^2) ) -(1/2)*x - (1/2)*alpha*(x^2+3*y^2)^beta = 0

I need to find x and y in terms of alpha and beta.

The other parameters are known.

But of course, maple gives me the warning: "Warning, solutions may have been lost".

Does anybody have any suggestion?

 


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