A proposal for modeling with ordinary differential equations: The mixing problem and its solution
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Keywords

mathematical modelling
differential equations
mixing problems

Categories

How to Cite

Hernández Méndez, R. (2023). A proposal for modeling with ordinary differential equations: The mixing problem and its solution. AZCATL: Journal for the Dissemination of Science, Engineering, and Innovation, 1(1), 9–13. Retrieved from https://azcatl.azc.uam.mx/index.php/azcatl/article/view/hernandez_modelizacion

Abstract

In differential equations courses in engineering, the applications of these equations are usually studied; therefore, it is important that engineering students are able to build mathematical models associated with some phenomenon of basic sciences or engineering. In this work, a proposal is presented to mathematically model the mixing problems. The mathematical model associated with this problem turns out to be a first order differential equation.  In addition, an analysis of the resulting model is made and its general solution is determined.

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References

Confrey, J., & Maloney, A. (2007). A Theory of Mathematical Modelling in Technological Settings. En Modelling and Applications in Mathematics Education (pp. 58-68). US: Springer. https://doi.org/https://doi.org/10.1007/978-0-387-29822-1 4

Simmons, G. F. (2016). Differential equations with applications and historical notes. CRC Press.

Zill, D. G. (2009). Ecuaciones diferenciales con aplicaciones de modelado (Novena). Cengage Learning.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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