Question

A solution curve of the differential equation (x² + xy + 4x + 2y + 4) dy/dx - y² = 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 intersect y = (x + 3)²

Answer 1

(A) intersects y = x + 2 exactly at one point 

(D) does NOT intersect y = (x + 3)²