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COMEDK2023MathematicsDifferential Equations

The differential equation of all non-vertical lines in a plane is

Options

  1. Ad^2 y d x^2 =0
  2. Bd^2 x d y^2 =0
  3. Cd y d x =0
  4. Dd x d y =0

Correct answer

A. d^2 y d x^2 =0

Step-by-step solution

The general equation of all non-vertical lines in a plane is a x+b y=1 , where b 0 . On differentiating both sides w.r.t. x , we get a+b d y d x =0 Again, differentiating w.r.t x , we get aligned & b d^2 y d x^2 d^2 y d x^2 =0 & [ b 0] aligned

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