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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 -

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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)

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

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