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KCET2021MathematicsDifferential Equations

Solution of differential equating x d y-y d x=0 represents

Options

  1. AA rectangular hyperbola.
  2. BParabola whose vertex is at origin.
  3. CStraight line passing through origin.
  4. DA circle whose centre is origin.

Correct answer

C. Straight line passing through origin.

Step-by-step solution

Given, x d y=y d x 1 y d y= 1 x d x Integrating both sides, aligned & 1 y d y= 1 x d x & y= x+ c & y=x c which is the equation of line passing & through origin. aligned

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