A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, “Remarks” boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations.
Chapter 1: Introduction to Differential Equations
Chapter 2: First-Order Differential Equations
Chapter 3: Modeling with First-Order Differential Equations
Chapter 4: Higher-Order Differential Equations
Chapter 5: Modeling with Higher-Order Differential Equations
Chapter 6: Series Solutions of Linear Equations
Chapter 7: The Laplace Transform
Chapter 8: Systems of Linear First-Order Differential Equations
Chapter 9: Numerical Solutions of Ordinary Differential Equations
Appendix I: Gamma Function
Appendix II: Matrices
Appendix III: Laplace Transforms
