The differential equation of the family of all straight lines passing through the origin is

  • A
    $x = y \frac{dy}{dx}$
  • B
    $\frac{dy}{dx} = 0$
  • C
    $y = x \frac{dy}{dx}$
  • D
    $\frac{d^2y}{dx^2} = \frac{y}{x}$

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