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MHT CET202014 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

If x x-y = ( a x-y ), then d y d x =

Options

  1. A2+ 1 y
  2. B2 y-x y
  3. C2 x-y x
  4. Dx-2 y y

Correct answer

B. 2 y-x y

Step-by-step solution

x x-y = a- (x-y) (x-y)+ x x-y = a 1 (x-y) (1- d y d x )+ [ (x-y)(1)-(x) (1- d y d x ) x-y ]=0 [ 1 x-y - 1 x-y d y d x ]+ [ x-y-x+x d y d x x-y ]=0 1 x-y - 1 x-y d y d x - y (x-y)² + x (x-y)² =0 (x-y)-(x-y) d y d x -y+x d y d x =0 d y d x = x-2 y -y = 2 y-x y

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