jee-main 2012 Q63

jee-main · India · offline Differential equations Applied Modeling with Differential Equations
The population $p(t)$ at time $t$ of a certain mouse species satisfies the differential equation $\frac{dp(t)}{dt} = 0.5\,p(t) - 450$. If $p(0) = 850$, then the time at which the population becomes zero is
(1) $\ln 18$
(2) $\ln 9$
(3) $\frac{1}{2}\ln 18$
(4) $2\ln 18$ 
The population $p(t)$ at time $t$ of a certain mouse species satisfies the differential equation $\frac{dp(t)}{dt} = 0.5\,p(t) - 450$. If $p(0) = 850$, then the time at which the population becomes zero is\\
(1) $\ln 18$\\
(2) $\ln 9$\\
(3) $\frac{1}{2}\ln 18$\\
(4) $2\ln 18$
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