Differential EquationHard

Question

The population p(t) at time t of a certain mousespecies satisfies the differential equation = 0.5 p(t) - 450. If p(0) = 850, then thetime at which the population becomes zero is:

Options

A.ln18
B.2 ln18
C.ln9
D.1/2  ln18

Solution


integrate

   ....(1)
given t = 0 → P = 850
C = ln 50
from (1)



at P = 0

t = 2ln18

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