integrate returns undefined .. Bug in zero denominator?



 

> -----Original Message-----
> From: Richard Hennessy [mailto:rvh2007 at comcast.net] 
>> Couldn't you get a warning about some solutions may be lost.  e.g.
> 
> solve (sin(x-y)/(x-y)=0,x);
> `solve' is using arc-trig functions to get a solution.
> Some solutions will be lost.


Yes, that happens in xmaxima, at least.
But that's not as good as one might get.

Mathematica gives no solutions, but suggest using Reduce, which gives 
C[1] \[Element] Integers && 
 x - y != 0 && (y == x - 2 \[Pi] C[1] || 
   y == -\[Pi] + x - 2 \[Pi] C[1])