Differential equations with Mathematica

This volume completely covers constructing, numerically computing and approximating solutions to ordinary and partial differential equations. This book serves as a hands-on introduction to the subject-matter through numerous examples that explain how to solve important applications using Mathematica Differential Equations with Mathematica presents an introduction and discussion of topics typically covered in an undergraduate course in ordinary differential equations as well as some supplementary topics such as Laplace transforms, Fourier series, and partial differential equations. It also illustrates how Mathematica is used to enhance the study of differential equations not only by eliminating the computational difficulties, but also by overcoming the visual limitations associated with the solutions of differential equations. The book contains chapters that present differential equations and illustrate how Mathematica can be used to solve some typical problems. The text covers topics on differential equations such as first-order ordinary differential equations, higher order differential equations, power series solutions of ordinary differential equations, the Laplace Transform, systems of ordinary differential equations, and Fourier Series and applications to partial differential equations. Applications of these topics are provided as well. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful. Differential Equations with Mathematica completely covers constructing, numerical computing, and approximating solutions to ordinary and partial differential equations. The book serves as a hands-on introduction to the subject matter through numerous examples that explain how to solve important applications using Mathematica.