A First Course in Differential Equations with Modeling Applications

A First Course in Differential Equations with modeling Applicatrions, 10E, strikes a balance between the analytical, qualitative and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, &quotRemarks” boxes, definitions and group projects. Written in a straightforward, readable and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

Table of Content

• Introduction to Differential Equations
• Definitions and Terminology
• Initial – Value Problems
• Differential Equations as Mathematical Models
• Chapter 1 in Review
• First – Order Differential Equations
• Solution Curves Without a Solution
• Separable Variables
• Linear Equations
• Exact Equations and Integrating Factors
• Solutions by Substitutions
• A Numerical Method
• Chapter 2 in Review
• Modeling with First – Order Differential Equations
• Linear Models
• Nonlinear Models
• Modeling with Systems of First – Order Differential Equations

and more…