Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations – and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).