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Let the population of rabbits surviving at a time t be governed by the differential equation `(d p(t)/(dt)=1/2p(t)-200.` If `p(0)""=""100` , then p(t) equals (1) `400-300""e^(t//2)` (2) `300-200""e^(-t//2)` (3) `600-500""e^(t//2)` (4) `400-300""e^(-t//2)`

A

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

B

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

C

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

D

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

Text Solution

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A
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