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QSymbiotic Species - differential equations

When two species, such as the rhinoceros and birds pictured below, coexist in a symbiotic (dependent relationship, they either increase together or decrease together.Typical equations for the growth rates of two such species might be:

dx/dt = -4x + 4xy
dy/dt = -3y + 2xy

a. Find an equation relating x and y if x = 5 when y =1
b. Find values of x and y sot hat both populations are constant.

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