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MHT CET202014 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The particular solution of the differential equation (y+x d y d x ) x y= x at x=0 is

Options

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

Correct answer

A. x+ x y=1

Step-by-step solution

We have (y+x d y d x ) x y= x Put x y=u x d y d x +y= d u d x ( du dx ) u = x u d u= x d x - u= x+c - x y= x+c When x=0 , we get - 0=0+c c=-1 - x y= x-1 x+ x y=1

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