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Differential Equations question

2012 · Shift 0 · Q30

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JEE Main
Mathematics
Differential Equations
2012 · Shift 0 · Q30

Differential Equations question

2012 · Shift 0 · Q30

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

The population

p(t)

at time

t

of a certain mouse species satisfies the differential equation

{{dp\left( t \right)} \over {dt}} = 0.5\,p\left( t \right) - 450.\,\,

If

p(0)=850,

then the time at which the population becomes zero is :

A
$2ln18$
B
$ln9$
C
${1 \over 2}ln18$
D
$ln18$

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