Which system of equations could have the phase plane diagram in the following figure?
A) $\frac{d x}{d t}=-5 x+y, \frac{d y}{d t}=x-5 y$
B) $\frac{d x}{d t}=x-5 y, \frac{d y}{d t}=5 x-y$
C) $\frac{d x}{d t}=-x+5 y, \frac{d y}{d t}=-5 x-y$
D) $\frac{d x}{d t}=x-5 y, \frac{d y}{d t}=-5 x-y$

Question

Which system of equations could have the phase plane diagram in the following figure? 
A) $\frac{d x}{d t}=-5 x+y, \frac{d y}{d t}=x-5 y$ 
B) $\frac{d x}{d t}=x-5 y, \frac{d y}{d t}=5 x-y$ 
C) $\frac{d x}{d t}=-x+5 y, \frac{d y}{d t}=-5 x-y$ 
D) $\frac{d x}{d t}=x-5 y, \frac{d y}{d t}=-5 x-y$

Quizplus · Accepted Answer

The Answer of Which system of equations could have the phase plane diagram in the following figure? 
A) $\frac{d x}{d t}=-5 x+y, \frac{d y}{d t}=x-5 y$ 
B) $\frac{d x}{d t}=x-5 y, \frac{d y}{d t}=5 x-y$ 
C) $\frac{d x}{d t}=-x+5 y, \frac{d y}{d t}=-5 x-y$ 
D) $\frac{d x}{d t}=x-5 y, \frac{d y}{d t}=-5 x-y$

Which System of Equations Could Have the Phase Plane Diagram dxdt=−5x+y,dydt=x−5y\frac{d x}{d t}=-5 x+y, \frac{d y}{d t}=x-5 ydtdx​=−5x+y,dtdy​=x−5y

Which System of Equations Could Have the Phase Plane Diagram $\frac{d x}{d t}=-5 x+y, \frac{d y}{d t}=x-5 y$