The differential equation of $y = A{e^{2x}} + B{e^{ - 2x}}$ is (where $A$ and $B$ are arbitrary constants):

  • A
    $\frac{dy}{dx} = x^2$
  • B
    $\frac{d^3y}{dx^3} - \frac{dy}{dx} + e^x = 0$
  • C
    $\frac{d^2y}{dx^2} = 0$
  • D
    $\frac{d^2y}{dx^2} = 4y$

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