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

- $\sin(t)$
- $1-e^{t}$
- $1-\cos(t)$
- $0$