Matthew R. Boelkins

This text starts from the level of a college freshman’s or advanced high school student’s rate problems, such as solutions mixing between connected tanks. This sets up the preliminaries for systems of linear equations. The content moves from there to the basics of linear algebra to include matrices, eigenvalues, and vector spaces. From a similar starting level, Chapter Two introduces first-order ODEs, including both linear and non-linear equations, separable and exact equations, and show more applications from mixing problems, growth, cooling, logistics, and Torricelli’s Law. With these chapters, Differential Equations with Linear Algebra works as an efficiently self-contained and effectively presented introduction of linear systems of DEs that also takes the reader to higher order and nonlinear systems of DEs, Laplace Transforms, numerical methods, and series solutions for DEs. show less