The particular solution of $\frac{dy}{dx} = 1 + x + y^2 + xy^2$,when $y(0) = 0$,is

  • A
    $y = \log \left(1 + \frac{x^2}{2}\right)$
  • B
    $y^3 = \log \left(1 + \frac{x^2}{2}\right)$
  • C
    $y^2 = \tan \left(1 + \frac{x^2}{2}\right)$
  • D
    $y = \tan \left(x + \frac{x^2}{2}\right)$

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