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Let the population of rabbits surviving at a time $'t'$ be governed by the differential equation $\large\frac{dp(t)}{dt}=\frac{1}{2}$$p(t)-200$

$\begin{array}{1 1}(A)\;400-300e^{\Large\frac{t}{2}}\\(B)\;300-200e^{\Large\frac{-t}{2}}\\(C)\;600-500e^{\Large\frac{t}{2}}\\(D)\;400-300e^{\Large\frac{-t}{2}}\end{array} $

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$400-300e^{\Large\frac{t}{2}}$
Hence (A) is the correct answer.
answered Apr 7, 2014 by sreemathi.v
 

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