The population P = P(t) at time 't' of a certain species follows the differential equation ${{dP} \over {dt}}$ = 0.5P – 450. If P(0) = 850, then the time at which population becomes zero is :

Question

The population P = P(t) at time 't' of a certain species follows the differential equation

${{dP} \over {dt}}$ = 0.5P – 450. If P(0) = 850, then the time at which population becomes zero is :

${\log _e}18$

${1 \over 2}{\log _e}18$

2${\log _e}18$

${\log _e}9$

Solution

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