The general solution of the differential equation $\frac{dy}{dx} = 1 - x + y - xy$ is (where $C$ is a constant of integration)

  • A
    $\log(1+y) = x + \frac{x^2}{2} + C$
  • B
    $\log(1-x) = \log(1+y) + y + C$
  • C
    $\log(1+y) = y - \frac{x^2}{2} + C$
  • D
    $\log(1+y) = x - \frac{x^2}{2} + C$

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