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problems with fullsimplify

Posted 10 years ago

I can't simplify the following equation:

FullSimplify[Ax^(1 - a) + Bx^a - tAy^(1 - a) - B*y^a == 0, x > 0, y > 0] What I mean is x and y are the variables and A,B,a and t are parameters. Everything (A, B, a, t, x and y) is positive.

How can I do it?

POSTED BY: Cara Vay
3 Replies

You cannot solve for x or for y in terms of elementary functions. They are related by the implicit function that you have written. You can make a PointPlot for the pairs {xn, yn}.

POSTED BY: S M Blinder
Posted 10 years ago

Thank you for the response! since I know K as well where K is: Ax^(1 - a) + Bx^a =K tAy^(1 - a) +B*y^a =K would I get some better way of expressing x in terms of y if I solve it as a system?

POSTED BY: Cara Vay

The expression is already in the most simplified form. You can't do any further simplification for something like x^a +x^b.

POSTED BY: S M Blinder
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