Consider the Lotka-Volterra predator-prey model defined by dx = -0.1x + 0.02xy dt dy = 0.2y – 0.025xy, dt 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). www х, у х, у 10- 10 50 100 50 100 х, у х, у 10 10 500 1000 500 1000 Use the graphs to approximate the time t > 0 when the two populations are first equal. Use the graphs to approximate the period of each population. period of x period of y

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.