Differential Equations for Engineers and Scientists

This concise applications-oriented text is intended for undergraduate students in engineering, mathematics, and other areas of science. The first chapters focus on solutions of first order equations, linear equations with constant coefficients, and simultaneous equations and reducible equations. Subsequent chapters explore the method of solution by infinite series and the more important special functions of mathematical physics.
The treatment examines the solution of partial differential equations as well as numerical methods of solution, including that of relaxation. Readers also receive an introduction to the theory of nonlinear differential equations. Nearly 900 worked examples and exercises include complete solutions, making this volume ideal for self-study as well as an excellent classroom text.

C. G. Lambe and C. J. Tranter taught at the UK's Royal Military College of Science, Shrivenham. Dr. Lambe's books include Applied Mathematics for Engineers and Scientists, and Dr. Tranter wrote Techniques of Mathematical Analysis.

1. Preliminary Ideas and Direct Methods2. First Order Differential Equations3. Linear Differential Equations with Constant Coefficints4. Simultaneous Equations; Reducible Equations5. Series Solutions and the Hypergeometric Equation6. Some Special Functions7. Partial Differential Equations8. Integral Transforms9. Graphical and Numerical Methods10. The Relaxation Method11. Non-Linear EquationsAnswers to the ExercisesIndex