Differential Equations with Boundary Value Problems: A Systems Approach

This well-organized introduction promotes a solid understanding of differential equations with a flexible presentation. The book's systems focus induces an intuitive understanding of the concept of a solution of an initial value problem in order to resolve potential confusion about what is being approximated when a numerical method is used. With less emphasis on formal calculation than other texts, all the basic methods are covered?linear, separable, and exact equations?as well as higher order cases, linear equations with constant and variable coefficients, Laplace transform methods, boundary value problems, and nonlinear systems.

This well-organized introduction promotes a solid understanding of differential equations with a flexible presentation. The book's systems focus induces an intuitive understanding of the concept of a solution of an initial value problem in order to resolve potential confusion about what is being approximated when a numerical method is used. With less emphasis on formal calculation than other texts, all the basic methods are covered—linear, separable, and exact equations—as well as higher order cases, linear equations with constant and variable coefficients, Laplace transform methods, boundary value problems, and nonlinear systems.