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KCET2018MathematicsDifferential Equations

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

Options

  1. AStraight lines
  2. BCircles
  3. CParabolas
  4. DEllipses

Correct answer

A. Straight lines

Step-by-step solution

Given differential equation is, [ array l x d y d x -y=3 x d y d x =3+y d y 3+y = d x x array ] Integrating both the sides, we have [ array l d y 3+y = d x x (3+y)= x+ c (3+y)=c x array ] The equation is a straight line equation.

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