Alternate solution to generalized Bernoulli equations via an integrating factor: an exact differential equation approach

DOI10.1080/0020739X.2016.1272143zbMath1397.97033OpenAlexW2561514464WikidataQ115309584 ScholiaQ115309584MaRDI QIDQ4689418

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Publication date: 16 October 2018

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739x.2016.1272143

zbMATH Keywords

ordinary differential equation integrating factor pedagogy exact differential equation generalized Bernoulli equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Functional equations (educational aspects) (97I70)

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Rethinking pedagogy for second-order differential equations: a simplified approach to understanding well-posed problems ⋮ Improved pedagogy for linear differential equations by reconsidering how we measure the size of solutions ⋮ Pedogogical perspectives on the method of Wilmer III and Costa for solving second-order differential equations ⋮ On Picard's iteration method to solve differential equations and a pedagogical space for otherness ⋮ An accessible, justifiable and transferable pedagogical approach for the differential equations of simple harmonic motion

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