Here's the perfect self-teaching guide to help anyone master differential equations, a common stumbling block for students looking to progress to advanced topics in both science and math. It covers first order equations, second order equations and higher, properties, solutions, series solutions, Fourier series and orthogonal systems, partial differential equations and boundary value problems, numerical techniques, and more. It is perfect for a student going on to advanced analytical work in mathematics, engineering, and other fields of mathematical science.