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NDA2010MathematicsDifferential EquationsActual

What does the solution of the differential equation x d y d x =y represent?

Options

  1. AFamily of straight lines through the origin
  2. BFamily of circles with their centres at the origin
  3. CFamily of parabolas with their vertices at the origin
  4. DFamily of straight lines having slope 1 and not passing through the origin

Correct answer

A. Family of straight lines through the origin

Step-by-step solution

The correct answer is option (A).

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