Suppose That We Model Populations of Predators and Preys (In $\begin{array} { l } \frac { d x } { d t } = 2 x - 1.2 x y \\\frac { d y } { d t } = - y + 0.9 x y\end{array}$

question 20

Multiple Choice

Suppose that we model populations of predators and preys (in millions) with the system of differential equations: $\begin{array} { l } \frac { d x } { d t } = 2 x - 1.2 x y \\\frac { d y } { d t } = - y + 0.9 x y\end{array}$ Find the equilibrium solution.

• A) \(x = \frac { 10 } { 9 } , y = \frac { 3 } { 5 }\)
• B) \(x = \frac { 9 } { 10 } , y = \frac { 3 } { 5 }\)
• C) \(x = \frac { 5 } { 9 } , y = \frac { 3 } { 10 }\)
• D) \(x = \frac { 5 } { 3 } , y = \frac { 10 } { 9 }\)
• E) \(x = \frac { 10 } { 9 } , y = \frac { 5 } { 3 }\)
• F) \(x = \frac { 10 } { 3 } , y = \frac { 9 } { 5 }\)
• G) \(x = \frac { 3 } { 9 } , y = \frac { 3 } { 5 }\)
• H) \(x = \frac { 3 } { 5 } , y = \frac { 10 } { 9 }\)

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