Separable Differential Equations are a type of Ordinary Differential Equations (ODEs) that can be solved when the terms involving the dependent and independent variables can be “separated” and placed on opposite sides of the equation.
In this first installment of the basic level, we present a collection of 10 step-by-step solved exercises, designed to strengthen mastery of the separation of variables technique. Each exercise poses a progressive challenge that encourages the development of skill in handling trigonometric, exponential, and logarithmic functions.
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1.- Kiseliov, A., Krasnov, M., & Makarenko, G. (1984). Problems in Ordinary Differential Equations. MIR Publishers.
2.- Boyce, W. E., DiPrima, R. C., & Meade, D. B. (2012). Elementary Differential Equations and Boundary Value Problems. Wiley
3.- Edwards, C. H., & Penny, D. E. (2001). Differential Equations. Pearson Educación de México.
4.- Nagle, R. K., Saff, E. B., & Snider, A. D. (2005). Differential Equations and Boundary Value Problems. Pearson Educación de México.
5.- Ross, S. L. (1992). Differential Equations. Editorial Reverté.
6.- Zill, D. G. (1988). Differential Equations with Applications. Grupo Editorial Iberoamérica.
7.- Rainville, E. D., Bedient, P. E., & Bedient, R. E. (1997). Differential Equations. Pearson Educación.
8.- Baranenkov, G., Demidovich, B., Efimenko, V., Kogany, S., Lunts, G., Porshneva, E., Sichova, E., Frolov, S., Shostak, R., & Yanpolskí, A. (1967). Problems and Exercises in Mathematical Analysis. MIR Publishers.
9.- Larson, R. P., & Hostetler, R. E. (1995). Calculus and Analytic Geometry (Vol. 2). McGraw-Hill..
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