Excel your differential equations skills by modelling with a logistic curve.
In the realm of mathematical modeling, we embark on a fascinating journey to understand the dynamics of growth and population in various contexts. To do this, we delve into the logistic differential equation and use it as a powerful tool to explore the intricate balance between population growth, carrying capacity, and birth rates. Solve the logistic differential equation and sketch the logistic curve for various parameters. Model real life situations. To enrich our analysis, we can incorporate real-life data, such as historical iPhone sales figures. These data points help us validate our model and refine our understanding of how iPhones have penetrated the market, approached carrying capacity, and been influenced by various factors over the years.