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AP EAMCET201920 Apr 2019Evening ShiftMathematicsDifferential EquationsActual

The order of the differential equation corresponding to the family of parabolas whose axes are along the X -axis and whose foci are at the origin, is

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

D. 1

Step-by-step solution

The equation of family of parabolas with focus and the x -axis as axis is Differentiating w.r.t. x , we get 2 y d y d x =4 a a= y 2 d y d x Substituting the value of a in Eq. (i), we get aligned & y^2=2 y d y d x (x- y 2 ) d y d x & y^2=y d y d x (2 x-y d y d x ) & y ( d y d x )^2-2 x d y d x +y=0 aligned It is clear from the differential equation is that the orders of equation is 1 .

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