(One or more than one correct option) A solution curve of the differential equation \( \left(x^{...

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(One or more than one correct option)
A solution curve of the differential equation \( \left(x^{2}+x y+4 x+2 y+4\right) \frac{d y}{d x}-y^{2}=0, \quad x0, \quad \) passes
P through the point \( (1,3) \). Then, the solution curve

W
(a) intersects \( y=x+2 \) exactly at one point
(2016 Adv.)
(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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