Differential EquationMedium
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:
= 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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