X^y=y^x REVISITED

  • Thread starter cronxeh
  • Start date

cronxeh

Gold Member
949
10
I'd like to resurrect the discussion of this interesting function.

Here are a few captivating pictures:

First is a graph of x^y=y^x :
http://www.imag.us/x/cronx/untitledxy.JPG [Broken]


Second one was achieved in MatLab 6.5:
http://www.imag.us/x/cronx/xyplot2.JPG [Broken]
EDU>> ezplot('x^y-y^x',[-150,-148])
I rotated the picture 90 degrees

Now this one seemed a bit odd to me.. any thoughts?


Edit:

Ok I'm freaking out here.. is my MatLab out of whack??
Plot of x^y=-y^x :
http://www.imag.us/x/cronx/wtfplot.JPG [Broken]
 
Last edited by a moderator:

NSX

65
0
Maple 10.02 gives funny stuff too:

https://my.ryerson.ca/bbcswebdav/users/m4yip/gt4/xy.gif [Broken]

Here's the code I used:

Code:
restart:
with(plots):
a := implicitplot((x^y=y^x), x=-200..200, y=-200..200);
display({a});
 
Last edited by a moderator:

cronxeh

Gold Member
949
10
Can I get a confirmation of this plot? I dont have that many applications that can do multivar plots
 

Hurkyl

Staff Emeritus
Science Advisor
Gold Member
14,845
17
I would say that your problem is almost entirely due to the fact that you're trying to plot in a region where x^y and y^x are defined almost nowhere.
 

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