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NDA2012MathematicsDifferential EquationsActual

What is the solution of the differential equation d y d x + y x =0 ? where c is a constant.

Options

  1. Ax y=c
  2. Bx=c y
  3. Cy=c x
  4. DNone of the above

Correct answer

A. x y=c

Step-by-step solution

aligned & d y d x = -y x & d y y =- d x x d y y + d x x =0 & integration & y+ x= 1+ C & x y= (1 . c) & x y=c aligned

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