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AP EAMCET202018 Sep 2020Morning ShiftMathematicsDifferential EquationsActual

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

Options

  1. A(x=y d y d x )
  2. B( d y d x =0 )
  3. C(y=x d y d x )
  4. D( d^2 y d x^2 = y x )

Correct answer

C. (y=x d y d x )

Step-by-step solution

Equation of family of lines passing through origin is ( aligned & y=m x y x =m & x d y d x -y x^2 =0 by differentiation & y=x d y d x . aligned )

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