- #1
- 2,115
- 13
For the equation:
[tex]y^x = x^y[/tex]
There are several trivial solutions:
such as:
[tex]y = x[/tex]
and a further set of trivial solutions for:
[tex]y^{y^y} = y^{y^2}[/tex]
Now I know for a fact there are also sevral non-trivial solutions and there is a method thta could possibly obtain a
general solution, so does anyone here know how to obtian a general solution or if not suggest other sets of solutions?
[tex]y^x = x^y[/tex]
There are several trivial solutions:
such as:
[tex]y = x[/tex]
and a further set of trivial solutions for:
[tex]y^{y^y} = y^{y^2}[/tex]
Now I know for a fact there are also sevral non-trivial solutions and there is a method thta could possibly obtain a
general solution, so does anyone here know how to obtian a general solution or if not suggest other sets of solutions?