The unique solution for the differential equation xy = y exists on the region ______?

The unique solution for the differential equation xy = y exists on the region ______?

Explanation

The differential equation xy' = y can be rewritten as y'/y = 1/x.

This equation has a unique solution when x ≠ 0, since dividing by zero is undefined.

The solution exists on the region defined by either x > 0 or x < 0.