Question: Consider the system of differential equations for predator-prey dynamics

dx/dt = x − xy      dy/dt = xy − y

where: x represents prey density and y represents predator density. Create a vector field for this system. The predator should be represented on the y-axis and the prey should be represented on the x-axis. Consider values 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3. Hint: divide the two differential equations.

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