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

question 68

Multiple Choice

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) \(\frac{d x}{d t}=x-5 y, \frac{d y}{d t}=-5 x-y\)

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