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Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies Maintaining A Contemporary Approach, Flexible Chapter Construction, Clear Exposition And Outstanding Problems, This Book Focuses Both On The Theory And The Practical Applications Of Differential Equations As They Apply To Engineering And The Sciences. First Order Differential Equations -- Second Order Linear Equations -- Higher Order Linear Equations -- Series Solutions Of Second Order Linear Equations -- The Laplace Transform -- Systems Of First Order Linear Equations -- Numerical Methods -- Nonlinear Differential Equations And Stability -- Partial Differential Equations And Fourier Series -- Boundary Value Problems And Sturm-liouville Theory. William E. Boyce, Richard C. Diprima. Includes Bibliographical References And Index. The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between.