
#1
Apr2503, 06:28 AM

P: 333

How can we solve an equation such as x^{y}y^{x} = 1 without guessing?




#2
Apr2503, 07:25 AM

P: 127

I'd solve that equation numerically, using mathematica or matlab.




#3
Apr2503, 08:29 AM

P: 333

Is there no analytical method? Or is it just horrendously complicated?




#4
Apr2503, 08:38 AM

P: 353

Weird equation
This question was asked about 150 years ago.
It was only answered recently. You can find more about its solution somewhere on Wolfram . 



#5
Apr2603, 07:51 AM

P: 333

I can't find anything on it. Does anyone know what the class of equation is called?



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