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$.

Question

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$.

Quizplus · Accepted Answer

The Answer of 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$.

Consider the First-Order Homogeneous System of Linear Differential Equations →\rightarrow→

Consider the First-Order Homogeneous System of Linear Differential Equations
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