Originally Posted by

**ecMathGeek** I've never seen something like this before. Maybe my teacher didn't explain it well enough, I wasn't paying attention, or perhaps he skipped these exceptions (though this seems like a pretty big thing to skip).

If I'm understanding you correctly, since the differential equation is undefined at x = 0 for all values of y, we cannot use an initial value starting on x < 0 to find solutions for x > 0.

Would we be able to draw the same conclusion for any solution to a differential equation that passes through some point where the differential equation is undefined? In other words, is it impossible to indicate what the particular solution will be for any domain past the point where differential equation is undefined depending upon the initial conditions?