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NDA2013MathematicsDifferential EquationsActual

The differential equation of the curve y= x is

Options

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

Correct answer

B. d^2 y d x^2 +y=0

Step-by-step solution

aligned & y= x & d y d x = x d^2 y d x^2 =- x aligned y+ d^2 y d x^2 =0 d y d x = 1 x+y+1

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