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NDA2015MathematicsDifferential EquationsActual

What is the solution of the differential equation y d x-x d y y^2 =0 ? where c is an arbitrary constant.

Options

  1. Ax y=c
  2. By=c x
  3. Cx+y=c
  4. Dx-y=c

Correct answer

B. y=c x

Step-by-step solution

y d x-x d y y^2 =0 aligned & y d x-x d y=0 & d y y = d x x aligned Now integrating both sides, aligned & d y y = d x x & y= x+ c & y= c x & y=c x & Option (B) is correct. aligned

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