DIFFERENTIAL EQUATIONS WITH SEPARABLE VARIABLES AND THEIR APPLICATIONS
Keywords:
Separable differential equations, calculus, mathematical modeling, physics, biology, engineering, applications.Abstract
This article explores differential equations with separable variables, one of the foundational concepts in calculus and applied mathematics. The study focuses on the theory behind separable variables, providing examples to illustrate the method's practical application. Key applications in physics, biology, and engineering are discussed to demonstrate the relevance of this mathematical tool in solving real-world problems. The simplicity and efficiency of separable variable techniques make them essential for students and professionals alike.
References
Boyce, W. E., & DiPrima, R. C. (2017). Elementary Differential Equations and Boundary Value Problems. Wiley.
Zill, D. G. (2013). A First Course in Differential Equations with Modeling Applications. Cengage Learning.
Bronson, R., & Costa, G. (2006). Differential Equations. McGraw-Hill.
Thomas, G. B., Weir, M. D., & Hass, J. (2014). Thomas’ Calculus. Pearson Education.
Birkhoff, G., & Rota, G.-C. (1989). Ordinary Differential Equations. Wiley.
Smith, H. L. (1995). Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems. American Mathematical Society.
Edwards, C. H., & Penney, D. E. (2007). Differential Equations and Boundary Value Problems: Computing and Modeling. Pearson.
Azerbaijan
Türkiye
Uzbekistan
Kazakhstan
Turkmenistan
Kyrgyzstan
Republic of Korea
Japan
India
United States of America
Kosovo