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

1. 400 – 300 e –t/2
2. 400 – 300 e t/2
3. 300 – 200 e –t/2
4. 600 – 500 e t/2

Correct answer: 400 – 300 e t/2

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