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Students and Mathematica: Swirl Discoveries: A 2D Linear Differential Equations Investigation
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| Mathematica in Education and Research |
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The coefficient matrix of 2-dimensional linear differential equation systems has complex eigenvalues and eigenvectors if and only if there are lines of attraction. The proof arose from and makes use of a graphical field plot representation of such systems. The use of Mathematica for both algebraic calculation and generation of these field plots allowed the proof to arise quite naturally.
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| swirl.nb (211.2 KB) - Mathematica Notebook |
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