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Manipal MET2017MathematicsDifferential Equations

The differential equation of the family of lines passing through the origin is

Options

  1. Ax d y d x +y=0
  2. Bx+ d y d x =0
  3. Cx d y d x -y=0
  4. Dd y d x =x

Correct answer

C. x d y d x -y=0

Step-by-step solution

The equation of line passing through the origin is given by y=m x...(i) On differentiating w.r.t. x , we get array ll & d y d x =m d y d x = y x [from Eq. (i)] & x d y d x -y=0 array

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