Mary L.

asked • 08/20/17

Differential Equations

Consider the rate of change equation dy/dt = 0.5y(2+y)(y-8) which has been created to
provide predictions about the future population of rabbits over time.
 
a) For what values of y is y(t) increasing? Explain your reasoning.
b) For what values of y is y(t) decreasing? Explain your reasoning.
c) For what values of y is dy/dt neither positive nor negative? What does this imply about the
solution function y(t)?
 

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