Consider the Lotka-Volterra predator-prey model defined by dx dt dy dt = -0.1x + 0.02ху = 0.2y -0.025 у. 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 жас 500 x,y и 50 1000 Г Т x,y ж 10 x,y 10- 100 Use the graphs to approximate the time t> 0 when the two populations are first equal. 45 x 50 и 500 100 ^^ . 1000

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