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-

  1. intersects y = x + 2 exactly at one point
  2. intersects y = x + 2 exactly at two points
  3. intersects y = (x + 2)²
  4. does NOT intersect y = (x + 3)²
Anurag Mishra Professor Asked on 23rd May 2016 in Maths.
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    Answer: (a) intersects y = x + 2 exactly at one point
    (d) does NOT intersect y = (x + 3)²

    Anurag Mishra Professor Answered on 24th May 2016.
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