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MHT CET202210 Aug 2022Evening ShiftMathematicsDifferential EquationsActual

The solution of the differential equation (1+x) y ~d x+(1-y) x ~d y=0 is

Options

  1. Ax y-x+y=C
  2. B( x y )-x+y=C
  3. Cx y-x-y=C
  4. D(x y)+x-y=C

Correct answer

D. (x y)+x-y=C

Step-by-step solution

aligned & (1+x) y ~d x+(1-y) x ~d y=0 & 1+x x ~d x= y-1 y ~d y & |x|+x=y- |y|+C & (x y)+x-y=C aligned

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