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NDA2018MathematicsDifferentiationActual

If y= ( x) , then which one of the following is correct?

Options

  1. Ad ^2 y dx ^2 + y =0
  2. Bd ^2 y dx ^2 =0
  3. Cx^2 d^2 y d x^2 +x d y d x +y=0
  4. Dx^2 d^2 y d x^2 -x d y d x +y=0

Correct answer

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

Step-by-step solution

aligned & (c) y= ( x) & d y d x = ( x) x & x ( d y d x )= ( x) aligned Again differentiating, aligned & x d^2 y d x^2 + d y d x =- x x = -y x & x^2 d^2 y d x^2 +x d y d x +y=0 aligned

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