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A second-order LTI system is described by the following state equations,

                                                        $\frac{d}{dt}x_1(t)-x_2(t)=0$

                                                        $\frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t)$

where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)$=$x_1(t)$. The system is

  1. undamped (oscillatory)
  2. underdamped
  3. critically damped
  4. overdamped
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