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I know the basic graph and shifting the graphs. But I have a special equation. I will explain the specialty of the functions later. Okay...let me say the specialty. This function has infinitely many solutions. I would like to know the GRAPH of the function. I can't draw the graph of this function. Please use computer and show me the picture/ graph of the following functions. Once again thank you for this wonderful site and members of this site.

function is: $x^y$ - $z^2$x + $z^2$y - $y^x$ = 0

Also, I want to know that, what kind of function it is? I mean, is it elliptic curve? or something else....

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    Not an elliptic curve. The equation determines a surface, and with appropriate software one can sketch that surface. Very little of a general nature is known about equations that mix variable exponents with polynomials.2012-03-16
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    If this is homework you are probably supposed to create a graph on your own, what software do you use?2012-03-16
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    Thank you so much! Can you draw the graph of this function please....2012-03-16
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    Sir, I am using MATLAB software. Unfortunately, I am not able to draw. Please could you draw this graph...2012-03-17

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