The population … … at time … of a certain mouse species satisfies the differential equation … If … then the time at which the population becomes zero is :

Option A. Given differential equation is

Differential Equations

JEE Main 2012 · Annual, Paper 1 · Q3581

MathematicsHard38×since 2002Q3581

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.\,\,

p(0)=850,

then the time at which the population becomes zero is :