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Let the popution of rabbits surviving at...

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 :

A

`300 - 200 e^(-t//12)`

B

`600-500 e^(t//12)`

C

`400 - 300 e^(t//12)`

D

`400 - 300 e^(-t//12)`

Text Solution

Verified by Experts

The correct Answer is:
D
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