OK. So, let me try something else because I'm still confused about the

__INTERVAL OF DEFINITION__; AKA "interval of existence"; AKA "interval of validity"; AKA "domain of the solution" <-----This one's in the book too, so it is a valid way to describe the idea that I'm trying to understand.

So, I'm gonna give a DE along with its solution and if someone could give the interval of definition and explain their reasoning as to how they determined that this interval was

*in fact* the interval of defintion, I would really appreciate it.

Here we go:

Given that

is a solution of the DE

. State the interval of definition. Explain your reasoning.

BTW, thanks for the clarification regarding the multivariable DE and it's single variable solution HallsOfIvy