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AP EAMCET202421 May 2024Evening ShiftMathematicsDifferentiationActual

If y= ⁻¹ x then (1-x^2 ) y₂-x y₁=

Options

  1. A0
  2. B1
  3. C2
  4. D2 y

Correct answer

A. 0

Step-by-step solution

aligned & y= ⁻¹ x x= y y d y d x =1 & d y d x = y d^2 y d x^2 = y y d y d x = y ^2 y d y d x & (1- ^2 y ) y₂= y d y d x (1-x^2 ) y₂=x y₁ & (1-x^2 ) y₂-x y₁=0 . aligned

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