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The state variable representation of a system is given as

$\dot{x} = \begin{bmatrix} 0 &1 \\  0 &-1  \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$

$y=\begin{bmatrix} 0 &1 \end{bmatrix} x$

The response $y(t)$ is

  1. $\sin(t)$
  2. $1-e^{t}$
  3. $1-\cos(t)$
  4. $0$
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