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Manipal MET2011MathematicsDifferential Equations

The degree and order of the differential equation of the family of all parabolas whose axis is x -axis, are respectively

Options

  1. A2,1
  2. B1,2
  3. C3,2
  4. D2,3

Correct answer

A. 2,1

Step-by-step solution

Let the equation of parabola whose axis is x -axis, is y^2= 4 a(x-h) On differentiating w.r.t. x , we get aligned & 2 y y₁= 4 a & y y₁= 2 a aligned Again differentiating, we get (y₁ )^2+y y₂=0 Hence, order and degree are respectively 1 and 2.

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