Ordinary differential equations

More about the book

This introductory text merges concepts from physics and biology with rigorous reasoning to present the theory of ordinary differential equations, alongside practical applications and computer simulations using Maple. It provides a concise overview of ordinary differential equations, making it accessible for students in mathematics, physics, and engineering, as well as those interested in mathematical modeling. The content is structured in three parts: **Part I: Theory** covers essential topics such as first-order differential equations, linear differential systems, second-order differential equations, nonlinear differential equations, stability of solutions, and differential systems with control parameters. **Part II: Exercises** includes seminars on various subjects, including classes of first-order differential equations, mathematical modeling, linear differential systems, second-order differential equations, Gronwall’s inequality, method of successive approximations, and stability of solutions. **Part III: Maple Code** consists of labs that introduce Maple, explore differential equations, linear and nonlinear systems, numerical computation of solutions, writing custom Maple programs, and differential systems with control parameters. This comprehensive approach equips readers with both theoretical knowledge and practical skills in the field.