Schaum's outline of modern introductory differential equations : with Laplace transforms, numerical methods, matrix methods, eigenvalue problems

Basic concepts solutions classifications of first-order differential equations separable first-order differential equations homogeneous first-order differential equations exact first-order differential equations integrating factors linear first-order differential equations applications of first-order differential equations linear differential equations - general remarks linear differential equations - theory of solutions second-order linear homogeneous differential equations with constant coefficients nth-order linear homogeneous differential equations with constant coefficients the method of undetermined coefficients variation of parameters initial-value problems applications of second-order linear differential equations with constant coefficients linear differential equations with variable coefficients - power-series solutions about an ordinary point regular singular points and the method of Frobenius gamma function Bessel functions the Laplace transform properties of the Laplace transform inverse Laplace transform convolutions and the unit step function solutions of linear differential equations with constant coefficients by Laplace transforms solutions of systems of linear differential equations with constant coefficients by Laplace transforms matrices e to the power At reduction of linear differential equations to a first-order system solutions of linear systems with constant coefficients simple numerical methods Runge-Kutta methods predictor-corrector methods modified predictor-corrector methods numerical methods for systems second-order boundary-value problems Sturm-Liouville problems eigenfunction expansions.