AIEEE 2012 Solution Q58 (Mathematics) (Code-B)

58. The population p(t) at time t of a certain mouse species satisfies the differential equation =0.5 p(t) — 450. If p(0) = 850, then the time at which the population becomes zero is:
(1) (2) ln 18 (3) 2 ln 18 (4) ln 9
Sol. (3)

P — 900 = k.et/2
P(0) = 850
— 50 = k k = — 50
If p = 0
–900 = — 50 et/2 t = 2 ln 18.

Questions?

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