If is the population who smoke at any year with a carrying capacity (limiting population) of , then the logistic model is
a separable DE.
Solve the DE, then use the two points you have been given to solve for and your integration constant.
Please help to solve the following :
"Cigarette consumption in a country increased from 50 per capita in 1900 AD to 3600 per capita in 1960 AD. Assuming that the growth in consumption follows a logistic law with a limiting consumption of 4000 per capita, estimate the consumption per capita in 1950."
Thanks in advance.