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MHT CET20228 Aug 2022Morning ShiftMathematicsDifferential EquationsActual

The general solution of the differential equation d y ~d x =1-x+y-x y is (where C is a constant of integration)

Options

  1. A(1+y)=x+ x^2 2 +C
  2. B(1-x)= (1+y)+y+C
  3. C(1+y)=y- x^2 2 +C
  4. D(1+y)=x- x^2 2 +C

Correct answer

D. (1+y)=x- x^2 2 +C

Step-by-step solution

aligned & d y ~d x =1-x+y-x y=(1-x)(1+y) & d y 1+y = (1-x) d x & (1+y)=x- x^2 2 +C aligned

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