\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the following system of coupled differential equations:$$\begin{cases}\dfrac{dx}{dt} = y \\ \dfrac{dy}{dt} = x\end{cases}$$Sketch the phase portrait for the system by drawing the velocity vector at each grid point \((x, y)\) where \(x, y \in \{-2, -1, 0, 1, 2\}\).
The vectors should be scaled by a factor of 0.5 for clarity.

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