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BITSAT2016MathematicsDifferential EquationsActual

For any differentiable function y of x , d² x d y² ( d y d x )³+ d² y d x² =

Options

  1. A0
  2. By
  3. C-y
  4. Dx

Correct answer

A. 0

Step-by-step solution

d y d x = ( d x d y )⁻¹ d² y d x² =-1 ( d x d y )⁻² d d x ( d x d y ) d² y d x² =(-1) ( d x d y )⁻² d d y ( d x d y ) d y d x =(-1) ( d y d x )² d² x d y² d y d x =- ( d y d x )³ d² x d y² d² x d y² ( d y d x )³+ d² y d x² =0

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