Question: Getting singularity value from dsolve([ode, ics], type = numeric, method = rkf45, maxfun = 0, output = listprocedure)

I got realy big problem thet burning my brain.... I got function ,it can be any function, this function somehow chenging in the loop.in every step in loop i need solve ode and analyze parametric function XX(t) YY(t).All i need to know about it is whether it has singularity and in what point if has. Singularity function dont work at all, she just geves me nothing.

 
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