Differential Equations Quiz
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SYSTEMS OF DIFFERENTIAL EQUATIONS
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Consider the Lotka-Volterra system dxdt=x(2−y)\frac{dx}{dt} = x(2 - y) and dydt=y(x−3)\frac{dy}{dt} = y(x - 3), where x(t)x(t) is the prey population and y(t)y(t) is the predator population. Let (x(t),y(t))(x(t), y(t)) be a solution with initial conditions x(0)=4x(0) = 4 and y(0)=1y(0) = 1. Which of the following statements correctly describes the initial behavior of the populations?
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