Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x_{0}, y_{0}) in the region.
A. A unique solution exists in the region consisting of all points in the xy-plane except (0, 3) and (0, -3).
B. A unique solution exists in the regions y < - 3 - 3 < y < 3 and y > 3
C. A unique solution exists in the region y < 3
D. A unique solution exists in the entire xy-plane.
E. A unique solution exists in the region y > - 3