JEE Main | 2014Differential EquationHard
Question
Let the population of rabbits surviving at a time t be governed by the differential equation 
p(t) - 200. If p(0) = 100, then p(t) equals
p(t) - 200. If p(0) = 100, then p(t) equalsOptions
A.600 - 500 et/2
B.400 - 300 e-t/2
C.400 - 300 et/2
D.300 - 200 e-t/2
Solution
p(t) - 200
2 log
= t + c
Using given condition p(t) = 400 - 300 et/2
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