Let the population of rabbits surviving t a time be governed by the differential equation \frac{dp(t)}{dt}=1/2p(t)-200.If p(0)=100,then p(t) equals [Main 2014]

Correct Answer is : 400−300et2

JEE Main 2014 Question Paper

Section: Mathematics

Question : 48 of 90

Marks: +1, -0

Let the population of rabbits surviving t a time be governed by the differential equation

dp(t)

p(t)−200.Ifp(0)=100,then p(t) equals

[Main 2014]

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