An elementary proof by contradiction of the exactness condition for first-order ordinary differential equations

DOI10.1080/0020739X.2020.1817588zbMath1491.97030OpenAlexW3093372302WikidataQ115309561 ScholiaQ115309561MaRDI QIDQ5072213

J. J. Bissell

Publication date: 25 April 2022

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.2020.1817588

zbMATH Keywords

first-order ordinary differential equationsproof by contradictionexact and inexact differential equations

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Functional equations (educational aspects) (97I70)

Cites Work

• On exact and inexact differentials and applications
• 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
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