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A network is described by the state model as $$\dot{x_{1}}=2x_{1}-x_{2}+3u \\  \dot{x_{2}}=-4x_{2}-u \\  y=3x_{1}-2x_{2}$$ The transfer function $H(s)\left(=\dfrac{Y(s)}{U(s)}\right)$ is

  1. $\dfrac{11s+35}{(s-2)(s+4)} \\$
  2. $\dfrac{11s-35}{(s-2)(s+4)} \\$
  3. $\dfrac{11s+38}{(s-2)(s+4)} \\$
  4. $\dfrac{11s-38}{(s-2)(s+4)}$
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