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MHT CET2007MathematicsDifferential Equations

The differential equation of all parabolas with axis parallel to the axis of y is

Options

  1. Ay₂=2 y₁+x
  2. By₃=2 y₁
  3. Cy₂³=y₁
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

The equation of the family of parabolas with axis parallel to axis of y is (x-a)²=A(y-b) On differentiating w.r.t. x , we get 2(x-a)=A y₁ Again differentiating w.r.t. x , we get 2=A y₂ On again differentiating w.r.t. x , we get array l array c y₃=0

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