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I'm not so good with computations, does someone know some book that has good computational tutorials and the basic theory of any introductory course?

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Computations of what? You need to be more specific. –  Chris Taylor Jul 7 '11 at 12:12
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Theory of Ordinary Differential Equations Earl A. Coddington is a good book and covers basics from the beginning. You can also see this link for many more books.

Simmons G.F, also has a very good book written on differential equations.

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