A population of rabbits can be modeled with the differential…
A population of rabbits can be modeled with the differential equation\(R’=2R-20\sin\left(\frac{\pi t}{6}\right)\)where \(R\) is the number of rabbits and \(t\) is in months. The rabbits only lose members of their population due to foxes. If \(t=0\) is January and the rabbits started with a population of 100 then estimate how many rabbits the foxes will eat in February \((t=1)\)?