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Differential Equations question

2021 · 24 Feb · Shift 1 · Q25

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JEE Main
Mathematics
Differential Equations
2021 · 24 Feb · Shift 1 · Q25

Differential Equations question

2021 · 24 Feb · Shift 1 · Q25

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

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 :

A
${\log _e}18$
B
${1 \over 2}{\log _e}18$
C
2 ${\log _e}18$
D
${\log _e}9$

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