Hunt B.R., Lipsman R.L., Osborn J.E., Rosenberg J.M. Differential Equations with MatLAB

3rd Edition. — John Wiley & Sons, Inc., 2012. — 296 p. — ISBN10: 1118376803."Differential Equations with MatLAB" by B. Hunt, R. Lipsman, J.Osborn and J.Rosenberg is a supplemental text that can enrich and enhance any first course in ordinary differential equations. Designed to accompany Wiley's ODE texts written by Boyce/DiPrima, Borrelli/Coleman and Lomen/Lovelock, this supplement helps instructors move towards an earlier use of numerical and geometric methods, place a greater emphasis on systems (including nonlinear ones), and increase discussions of both the benefits and possible pitfalls in numerical solution of ODEs. By providing an introduction to the software that is integrated with the relevant mathematics, "Differential Equations with MatLAB" can perfectly complement and enhance these texts.Getting Started with MatLAB
Doing Mathematics with MatLAB
Using the Desktop and M-files
Problem Set A: Practice with MatLAB
Solutions of Differential Equations
MuPAD
A Qualitative Approach to Differential
Problem Set B: First Order Equations
Numerical Methods
Features of MatLAB
Using Simulink
Problem Set C: Numerical Solutions
Solving and Analyzing Second Order Linear Equations
Problem Set D: Second Order Equations
Series Solutions
Laplace Transforms
Problem Set E: Series Solutions and Laplace Transforms
Higher Order Equations and Systems of First Order Equations
Qualitative Theory for Systems of Differential Equations
Problem Set F: Systems of Differential Equations