Consider the First-Order Homogeneous System of Linear Differential Equations
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Multiple Choice

Consider the first-order homogeneous system of linear differential equations

Which of the following is an accurate statement regarding the behavior of the solution trajectories of this system as t $\rightarrow$$\infty$ ?

A) All trajectories spiral towards the origin as t $\rightarrow$$\infty$ .
B) All trajectories spiral away from the origin as t $\rightarrow$$\infty$ .
C) The trajectories are concentric circles centered at the origin.
D) The trajectories are line segments that approach the origin as t $\rightarrow$$\infty$ .