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The output of a standard second-order system for a unit step input is given as $y(t) = 1-\dfrac{2}{\sqrt{3}}e^{-t}\cos \left(\sqrt{3t}-\dfrac{\pi}{6}\right)$. The transfer function of the system is

  1. $\dfrac{2}{(s+2)(s+\sqrt{3})}$
  2. $\dfrac{1}{s^{2}+2s+1}$
  3. $\dfrac{3}{s^{2}+2s+3}$
  4. $\dfrac{3}{s^{2}+2s+4}$
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