A solution curve of the differential equation $$(x^2 + xy + 4x + 2y + 4)\frac{dy}{dx} - y^2 = 0, x > 0$$, passes through the point (1, 3). Then the solution curve

A

intersects y = x + 2 exactly at one point

B

intersects y = x + 2 exactly at two points

C

intersects $$y = (x + 2)^2$$

D

does NOT intersects $$y = (x + 3)^2$$