# A solution curve of the differential equation (x² + xy + 4x + 2y + 4) dy/dx – y² = 0, x > 0

A solution curve of the differential equation (x² + xy + 4x + 2y + 4) dy/dx – y² = 0, x > 0 , passes through the point (1,3). The the solution curve-

- intersects y = x + 2 exactly at one point
- intersects y = x + 2 exactly at two points
- intersects y = (x + 2)²
- does NOT intersect y = (x + 3)²

**Answer: (a) intersects y = x + 2 exactly at one point**

(d) does NOT intersect y = (x + 3)²