Differential Equations with Mathematica

Fully updated to version 10 of Mathematica, Differential Equations with Mathematica 4th edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and / or graphically) differential equations of interest to students, instructors, and scientists. Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution; in other cases, Mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms and have the student gain proficiency in them, nearly every topic covered in Differential Equations with Mathematica introduces basic commands and includes typical examples of application of them. A study of differential equations relies on concepts from calculus and linear algebra so the text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful so the book relies heavily on Mathematica’s outstanding graphics capabilities. Demonstrates how to take advantage of the advanced features of Mathematica 10Introduces the fundamental theory of ordinary and partial differential equations using Mathematica to solve typical problems of interest to students, instructors, scientists and practitioners from many fieldsShowcases practical applications and case studies drawn from biology, physics, and engineering