Solve the Problem $\frac { d x } { d t } = ( - 2 + 3 y ) x$

question 13

Multiple Choice

Solve the problem.
-The system of equations $\frac { d x } { d t } = ( - 2 + 3 y ) x$ and $\frac { d y } { d t } = ( - 2 + x ) y$ describes the growth rates of two symbiotic (dependent) species of animals (such as the rhinoceros and a type of bird which eats insects from its back) . What is necessarily true of the two populations at the equilibrium points?

• A) They are both at a maximum.
• B) Both populations equal zero.
• C) They are both at a minimum.
• D) They both remain constant over all time.

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