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## Homework Statement

Identify the region that the DE will have a unique solution.

y' = [itex]\frac{y^2}{x^2+y^2}[/itex]

## The Attempt at a Solution

[itex]\frac{\partial f}{\partial y}[/itex] = [itex]\frac{2x^y}{(x^2+y^2)^2}[/itex]

I'm a bit rusty with my domains, but here is what I've got.

x: (-∞, -2) U (2,-∞)

y: (-∞, -2) U (2,-∞)

I think that I'm missing something else!?