Differential Equations with Maple

"A very novel approach to the teaching/learning of all basic aspects of differential equations. ... The book, therefore, provides an introduction to MAPLE as well as standard material on differential equations written in a friendly style." -Aslib Book Guide "The course in differential equations starts with fairly well-explained examples from different fields of application. The theory is presented in a student-friendly, understandable form... The problems presented at the end of each chapter contain material for using the theory or the tools presented in the frame of MAPLE. ... The textbook is recommended for those who start solving differential equation problems by MAPLE and also for those who need an introduction in (mainly ordinary) differential equations." -Applications of Mathematics

• I Maple Use and Programming.- 1 Introduction to Maple.- II Differential Equations.- 2 Introduction to Differential Equations.- 3 First Order Equations.- 4 Introduction to Numerical Methods.- 5 Higher Order Differential Equations.- 6 Laplace Transform Methods.- 7 Systems of Equations.- 8 Stability.- 9 Periodic Problems.- 10 Impedances and Differential Equations.- 11 Partial Differential Equations.- III Maple Application Topics.- 12 Introduction to Maple Applications.- 13 Plotting With Maple.- 14 Maple and Laplace Transforms.- 15 Maple Linear Algebra Applications.- 16 Runge-Kutta Designs.- 17 Maple Packages.- IV Appendices.- A Review Problems.- B Laplace Transform Table.- References.