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?
The expression is already in the most simplified form. You can’t do any further simplification for something like x^a +x^b.
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?
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 {x_n, y_n}.