500 Examples and Problems of Applied Differential Equations

• Main Authors: Agarwal, Ravi P. (Author, http://id.loc.gov/vocabulary/relators/aut), Hodis, Simona (http://id.loc.gov/vocabulary/relators/aut), O'Regan, Donal (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Problem Books in Mathematics,
• Subjects: Differential equations.; Difference equations.; Functional equations.; Partial differential equations.; Sequences (Mathematics).; Numerical analysis.; Ordinary Differential Equations.; Difference and Functional Equations.; Partial Differential Equations.; Sequences, Series, Summability.; Numerical Analysis.

This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, se...

Table of Contents:

• 1. First Order Linear Differential Equations
• 2. Some First Order Nonlinear Differential Equations
• 3. Second and Higher Order Differential Equations
• 4. Power Series Solutions
• 5. Systems of First Order Linear Differential Equations
• 6. Runge-Kutta Method
• 7. Stability Theory
• 8. Linear Boundary Value Problems
• 9. Nonlinear Boundary Value Problems
• Index.