Consider the first-order homogeneous system of linear differential equations

Which of these is an accurate description of the solution trajectories of the phase portrait for this system?
A) The trajectories spiral towards the origin as t $\rightarrow$$\infty$.
B) The trajectories are concentric circles centered at the origin.
C) The trajectories spiral away from the origin as t $\rightarrow$$\infty$.
D) The trajectories are line segments that approach the origin as t $\rightarrow$$\infty$.
E) The origin is a saddle point.

Question

Consider the first-order homogeneous system of linear differential equations

Which of these is an accurate description of the solution trajectories of the phase portrait for this system?
A) The trajectories spiral towards the origin as t $\rightarrow$$\infty$. 
B) The trajectories are concentric circles centered at the origin. 
C) The trajectories spiral away from the origin as t $\rightarrow$$\infty$. 
D) The trajectories are line segments that approach the origin as t $\rightarrow$$\infty$. 
E) The origin is a saddle point.

Quizplus · Accepted Answer

The Answer of Consider the first-order homogeneous system of linear differential equations

Which of these is an accurate description of the solution trajectories of the phase portrait for this system?
A) The trajectories spiral towards the origin as t $\rightarrow$$\infty$. 
B) The trajectories are concentric circles centered at the origin. 
C) The trajectories spiral away from the origin as t $\rightarrow$$\infty$. 
D) The trajectories are line segments that approach the origin as t $\rightarrow$$\infty$. 
E) The origin is a saddle point.

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

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