Question

(d) If P(0) = 220 what happens to P(t) as t → ∞? (For example, is P(t) always increasing, always decreasing, a combination, does P(t) approach any value or go to infinity? Do NOT use an explicit solution to solve this problem)

Answer 1

need more information,
cannot solve an equation with a single point of data

Answer 2

Consider the logistic population model
dP =.5P(1− P )

Answer 3

ok
\[dp=.5(220)(1-220)\]\[dp=-24090\]

so dp is decreasing with time
and i guess it approaches zero at infinite time