📘Differential Equations with Separable Variables Basic Level 10 St...

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.

lagrida_latex_editor (1).png

lagrida_latex_editor (2).png lagrida_latex_editor (3).png

lagrida_latex_editor (4).png lagrida_latex_editor (5).png

lagrida_latex_editor (6).png lagrida_latex_editor (7).png

lagrida_latex_editor (8).png lagrida_latex_editor (9).png

lagrida_latex_editor (10).png lagrida_latex_editor (11).png

lagrida_latex_editor (12).png lagrida_latex_editor (13).png

lagrida_latex_editor (14).png lagrida_latex_editor (15).png

lagrida_latex_editor (16).png lagrida_latex_editor (17).png

lagrida_latex_editor (18).png lagrida_latex_editor (19).png

I feel fortunate to be part of such an enthusiastic, generous, and committed community. Your comments, suggestions, and expressions of support have been an endless source of motivation and inspiration to keep creating and growing together.
Thank you for being part of this journey, for your trust, and for helping me improve every day. Without you, none of this would be possible. Let’s keep sharing ideas, learning, and enjoying great moments on Hive Blog!
A big hug,
Gary Núñez.

See you in the next post!
GOD BLESS YOU ALL.

B I B L I O G R A P H Y

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..

Image Sources.

The graphs for the level curves were constructed using.
the web page: https://www.desmos.com/calculator/frx7bimvdd?lang=es.