The solution of the equation $\frac{dy}{dx} = e^{x - y} + x^2 e^{-y}$ is

  • A
    $e^y = e^x + \frac{x^3}{3} + c$
  • B
    $e^y = e^x + 2x + c$
  • C
    $e^y = e^x + x^3 + c$
  • D
    $y = e^x + c$

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