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KCET2010MathematicsDifferential Equations

The general solution of the differential equation 2 x d y d x -y=3 is a family of

Options

  1. Ahyperbolas
  2. Bparabolas
  3. Cstraight lines
  4. Dcircles

Correct answer

B. parabolas

Step-by-step solution

The given differential equation is 2 x d y d x -y=3 2 x d y d x =(y+3) 2 dy ( y +3) = dx x (on integrating) 2 (y+3)= x+ c ( y +3)²= cx which represents a family of parabolas.

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