Previous edition: published as A course in ordinary differential equations. 2015.
Includes bibliographical references and index.
Traditional first-order differential equations -- Geometrical and numerical methods for first-order equations -- Elements of higher-order linear equations -- Techniques of nonhomogenous higher-order linear equations -- Fundamentals of systems of differential equations -- Geometric approaches and applications of systems of differential equations -- Laplace transforms -- Series methods -- Boundary-value problems and fourier series -- Partial differential equations.