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BITSAT2010MathematicsVector AlgebraActual

The solution of differential equation (2 x d y d x -y=3 ) represents a family of

Options

  1. Acircles
  2. Bstraight lines
  3. Cellipses
  4. Dparabola

Correct answer

D. parabola

Step-by-step solution

We have, (2 x d y d x =y+3 2 y+3 d y= d x x ) integrating, (2 (y+3)= x+ c= c x ) ( (y+3)^2= cx (y+3)^2= cx ) which is a family of parabolas.

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