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This video discusses how to create a model using differential equations. The speaker explains the language of functions and derivatives and provides an example of how to create a model for a population of lions. Next, the derivative of the population with respect to time is explained, and the speaker shows how to interpret this data. Finally, the speaker discusses how to create the model using differential equations. This model can be useful for predicting how a population will behave in the future.

**00:00:00**This video explains how to create a mathematical model using differential equations. First, the speaker explains the language of functions and derivatives, and then presents an example of a population of lions. Next, the derivative of the population with respect to time is explained, and the speaker shows how to interpret this data. Finally, the speaker discusses how to create the model using differential equations.**00:05:00**This 1-paragraph summary explains how to create a model for a population using equations differential and algebra. First, we need to know some facts about the population, such as how many animals there are and their growth rate. Next, we need to create an equation that shows how the population behaves over time. Finally, we solve the equation to find the population's future. This model can be useful for predicting how a population will behave in the future.**00:10:00**The video discusses how to create a model of a population using equations differential, language of functions and derivatives, and explains how important it is to account for significant factors within the model. The video then provides an example of how to do this with data for a balloon that inflates and deflates.**00:15:00**In this video, the presenter explains how inversely proportional equations work. As one quantity (volume of the balloon, in this case) increases, the other quantity (speed at which the balloon inflates, in this case) decreases.**00:20:00**In this video, the presenter explains how to use equations differencials, functional language, and derivatives to create models. They then go on to discuss applications of these models in populations.

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