Applied differential equations : the primary course / Vladimir A. Dobrushkin, Brown University, Providence, Rhode Island, USA

"A CRC title."

"Applied Differential Equations: The Primary Course presents a contemporary treatment of ordinary differential equations, including their applications in engineering and the sciences. The text enables students majoring in a range of fields to obtain a solid foundation. Developed as a primary text for the author's two-semester course offered in an applied mathematics department, the text offers a true alternative to texts originally published for previous generations. This interesting new approach contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. The author covers tradtional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages"--Back cover

Includes bibliographical references (pages 701-703) and index

Introduction -- First order equations -- Numericals methods -- Second and higher order linear differential equations -- Laplace transforms -- Introduction of systems of ODEs -- Topics from linear algebra -- Systems of linear differential equations -- Qualitative theory of differential equations -- Orthogonal expansions -- Partial differential equations