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)`
