At SIMIODE's EXPO 2024 online international conference, Peyam Tabrizian, Brown University, Providence RI USA, presented a very different and productive approach to The Factoring Method That Will Change Your Life! (Slides) (Video) From the abstract: We present a very elegant method for solving constant coefficient second order ODE such y" - 5y' + 6y = 0 by factoring out operators instead of using auxiliary equations. The advantage of this technique is that it is much more direct and does not require any guesswork whatsoever. Moreover, it generalizes easily to inhomogeneous ODEs and can even be used to solve some PDEs such as the wave equation.
Just so you know, SIMIODE is Systemic Initiative for Modeling Investigations with Differential Equations is a FREE Community of Practice in support of a modeling first approach to teaching differential equations. Come join us!
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Brian Winkel
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