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The book begins with a discussion of definitions, terminology, and basic analytic procedures and then introduces solution curve families and Picard's theorem. Later chapters cover everything from algorithms used to solve first-order equations and higher-order linear equations to Kepler's laws of motion and linear differential equations with power series solutions.
Many differential equations are solved with a variety of example solutions. Rather than expecting students to master specialized software, the book offers optional tutorials and templates for solving differential equations using the Voyage 200 and TI-92 Plus calculators.
In addition to providing a wide-ranging overview of the fundamentals of ordinary differential equations, the book explores several more esoteric subjects:
With its thorough coverage of both standard and intermediate level topics in ordinary differential equations, the book can be used to individualize instruction depending on students' interests and goals.
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