Math 4500, Difference Equations

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In this lecture, we introduce the concept of a difference equations, and see when it is a more natural modeling tool than ordinary differential equations. Also, we learn about a technique called cobwebbing that helps us visualize the dynamics of a a difference equation.
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This is the BEST video I can found on you-tube about this topic of 'Difference Equations'. Thank you very much for your teaching! I greatly enjoyed it. I am a bit unclear about logistic equation. I remember sometimes I saw their curves like 'S' shape: in the early time, the population is slowly increasing, in the middle period of time, the population is shooting up, in the end period of time, the population growth is dampened and approaching to the limit. Maybe I am confused with a different function. Could you help me? Thank you!

xsli
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This lecture should be more valuable if your voice was much louder and clear. Anyway thank you so much for the great explanations...

naveendissanayaka
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Does anyone know about how to solve difference equations in WolframAlpha? it would be very helpful :(

javierfayala