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In this video, we use our knowledge of the logistic model for population growth to write a formula for the growth of the population of a certain species. This is an initial value problem. Suppose that a population grows has a carrying capacity of K = 6000 and a growth rate of r = 0.0015 per year, if the initial population is 1000, we use this information to write a formula for the population after t years. We use this formula to find the population after 50 years. Video deriving the general solution to the logistic equation: • The Logistic Differential Equation for Pop... Thanks for watching. Please give me a "thumbs up" if you have found this video helpful. Please ask me a maths question by commenting below and I will try to help you in future videos. I would really appreciate any small donation which will help me to help more math students of the world. Please donate here: https://paypal.me/MasterWu Follow me on Twitter! twitter.com/MasterWuMath