this text encourages students to think both quantitatively and qualitatively when approaching differential equations. Before finding the analytical solution of a differential equation, the text presents the qualitative aspects of the problem--the directional field, the bounded solutions, their range, the presence of constant solutions and so on--to help students use linear algebra to think about the physical systems being modeled. In addition, this text features a fluid integration of linear algebra therefore emphasizing the inter-relatedness of differential equations and linear algebra.

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