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AP EAMCET2001MathematicsDifferential Equations

The family of curves in which the sub-tangent at any point to any curve is double the abscissa is given by

Options

  1. Ax=C y^2
  2. By=C x^2
  3. Cx^2=C y^2
  4. Dy^2=C x^3

Correct answer

A. x=C y^2

Step-by-step solution

The length of sub-tangent =y d x d y Given, y d x d y =2 x d x x =2 d y y x=2 y+ C x=C y^2

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