Consider the Lotka-Volterra predator-prey model defined by x = -0.1x + 0.02xy dt dy .= 0.2y - 0.025xy. where the populations x(t) (predators) and y(t) (prey) are measured in thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t). x, y 10 м Ж м x, y 10 жас м 50 100 x, y 10 Ким 50 500 1000 Use the graphs to approximate the time t> 0 when the two populations are first equal. x, y 10 КММ м 100 500 1000 t t

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