Consider the differential equation y' = Vy2 - 9. Let f(x, y) = V y2 - 9. Find the partial derivative of f. df dy 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, Yo) in the region. O A unique solution exists in the region y < -3 or y > 3. O A unique solution exists in the region -3 < y < 3. O A unique solution exits in the entire xy-plane. O A unique solution exits in the regions y < -3, -3 < y < 3, and y > 3. O A unique solution exits in the region consisting of all points in the xy-plane except (0, 3) and (0, -3). Determine whether Theorem 1.2.1 guarantees that the differential equation possesses a unique solution through (7, 3). O Yes O No

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