This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications.
Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course.
Solution manual for S. J. Farlow's Introduction to Differential Equations and Their Applications, currently published by Dover Publications
An Introduction to Differential Equations and Their Applications
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences.
First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
Introduction to Random Differential Equations and Their Applications
In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities.
considering the error associated with Euler's method, which uses only the first two terms of the Taylor series expansion. Recall Taylor's Formula with Remainder ... R(x0 + h) = Therefore, a bound on the error is given by max ly"(x)|.
This interdisciplinary work creates a bridge between the mathematical and the technical disciplines by providing a strong mathematical tool. The present book is a new, English edition of the volume published in 1999.