A solution curve of the differential equ...

A solution curve of the differential equation `(x^(2)+xy+4x+2y+4)(dy)/(dx)-y^(2)=0, x gt0`, 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 intersect `y=(x+3)^(2)`

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