(x^2 + y^2)y' = y^2 Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0,y0) in the region.
(1) A unique solution exists in the region y >= x.
(2) A unique solution exists in the entire xy-plane.
(3) A unique solution exists in the region consisting of all points in the xy-plane except the origin.
(4 A unique solution exists in the region y <= x.
(5) A unique solution exists in the region x^2 + y^2 < 1
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(x^2 + y^2)y' = y^2 Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0,y0) in the region.
(1) A unique solution exists in the region y >= x.
(2) A unique solution exists in the entire xy-plane.
(3) A unique solution exists in the region consisting of all points in the xy-plane except the origin.
(4 A unique solution exists in the region y <= x.
(5) A unique solution exists in the region x^2 + y^2 < 1