JEE Math Practice Question
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.$$2ln$$ $$18$$
- B.$$ln$$ $$9$$
- C.$${1 \over 2}$$$$ln$$ $$18$$
- D.$$ln$$ $$18$$
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