For introduction to differential equations courses at the undergraduate level.
The author's engaging writing style combined with the text's evenhanded organization clearly introduces and reinforces key concepts. Standard computational techniques are introduced using carefully chosen motivating examples and discussions. This modern treatment of differential equations carefully relates the material to other subjects such as engineering, physics, and biology as well as other branches of mathematics. Concepts such as eigenvalues and eigenvectors are smoothly and coherently integrated into the text. Qualitative concepts such as phase portraits and Lyapunov functions are given extensive coverage. The exercises vary greatly in difficulty and range from easier computational exercises to more complicated theoretical problems.
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FirstOrder Differential Equations
chapter A SecondOrder Differential Equations
Systems of Two FirstOrder Differential Equations
8 other sections not shown