Differential equations and infinite series

The book is written for the course Advanced Engineering Mathematics 2 at the Technical University of Denmark. Longer proofs are placed in an Appendix, so the book can be used as well in a practically oriented course as in a more theoretically oriented course. The presentation requires a solid knowledge of calculus, linear algebra, and differential equations of first- and second order. 

The main topics are:•Differential equations of nth order; •Systems of differential equations of first order; •Transfer functions; •Stability; •Nonlinear differential equations; •Infinite series with constant terms; •Infinite series with variable terms; •Power series; •Fourier series; •Solution of differential equations using power series; •Solution of differential equations using Fourier series; •The Fourier transform.  

The book also contains a large collection of exercises and an appendix with Maple commands.