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Let the population of rabbits surviving ...

Let the population of rabbits surviving at a time t be governed by the differential equation `(dp(t))/(dt)=(1)/(2)p(t)-200`. If `p(0)=100`, then p(t) equals -

A

`400-300e^((t)/(2))`

B

`300-200e^(-(t)/(2))`

C

`600-500e^((t)/(2))`

D

`400-300e^(-(t)/(2))`

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