Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s popular textbook adds coverage of boundary value problems.

The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations.

This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.

chapter 1|38 pages


chapter 2|98 pages

First Order Equations

chapter 3|50 pages

Numerical Methods

chapter 5|72 pages

Laplace Transforms

chapter 6|36 pages

Introduction to Systems of ODEs

chapter 7|54 pages

Topics from Linear Algebra

chapter 10|51 pages

Orthogonal Expansions

chapter 11|32 pages

Partial differential equations

chapter 12|40 pages

Boundary Value Problems