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This question may be out of the scope of this website, if so let me know and i will delete it. so I am right now taking an ODE class, which i find to be mildly interesting, though it seems to be more abstract than calculus.. so i am wondering does any one have any advice on how to make it more interesting. for instance when i was in calculus I found it to be fun, because i could use the shell method for example to find the area of actual shapes... or find the velocity vector from the position function. the point is i could see clear applications. so I am wondering if any one has any advice on how I can make ODE more enjoyable by actually using it for practical things? I have seen the population model and the mixing problems, but I don't really understand where that would be applied. any advice would be greatly appreciated.

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How about solving Newton's equations of motion ? This wiki page lists several interesting examples –  Sasha Oct 26 '11 at 21:22
I'm sure your teacher would be happy to point you in the direction of any number of books full of applications of ODEs. –  Gerry Myerson Oct 26 '11 at 22:01
Physics is all about solving differential equations. Newton's law $F=ma$ is a differential equation. They're everywhere! Here's one popular application: en.wikipedia.org/wiki/Harmonic_oscillator –  Bill Cook Oct 27 '11 at 2:22
thank you guys for all of your comments. :) –  AlexW.H.B. Oct 27 '11 at 14:10
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Link to video lectures on Applied Differential Equations at NC State U. Link to Applied Differential Equations by Murray Spiegel, at amazon. Link to the text for Applied Differential Equations at U Alabama. Big chunks of Differential Equations and their Applications by Martin Braun are available at Google Books.

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+1. Wow... :-) $ $ –  Did Oct 27 '11 at 9:39
thank you very much! this is very helpful. –  AlexW.H.B. Oct 27 '11 at 10:49
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