A calf gains weight proportional to the difference between 1200 and its weight, w in pounds and t in years.
a)Assuming the calf weight 75 pounds at birth and doubled its weight in 10 days, solve the differential equation for w, as a function of t
b)If the animal sold when its weight reaches 800 pounds, find the number of days to wait to sell.
c)What is the maximum weight of the animal? Show work that leads to your answer