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Let the population of rabbits survivin...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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