Let be the number of worms (in millions) and
the number of robins (in thousands) living on
an island. Suppose and satisfy the following
differential equations, which correspond to the slope field shown
below.
Assume and when .
Does the number of worms increase, decrease, or stay the same at first?
Does the number of robins increase, decrease, or stay the same at first?
What happens in the long run?
You can earn partial credit on this problem.