I am looking for information about the following diophantine equation :
$N = \displaystyle\frac{x^2+y}{x+y^2}$
Has it been studied ? Is there any efficient algorithm to solve it?
Any links?
I have tried to solve it by myself this week-end, but haven't made any progress ...
Thanks in advance
Philippe
P.S:
My first post. Sorry for being unclear.
Does this equation have solutions in integers x,y for all integer N > 0 ?