Print version has title: Schaum's outlines of differential equations
Online index title: Schaum's outline of differential equations
Outline of differential equations
McGraw-Hill's AccessEngineering.
Basic concepts.
Introduction to modeling and qualitative methods.
Classifications of first-order differential equations.
Separable first-order differential equations.
Exact first-order differential equations.
Linear first-order differential equations.
Applications of first-order differential equations.
Linear differential equations: theory of solutions.
Second-order linear homogeneous differential equations with constant coefficients.
Nth-order linear homogeneous differential equations with constant coefficients.
Method of undetermined coefficients.
Variation of parameters.
Initial-value problems for linear differential equations.
Applications of second-order linear differential equations.
Matrices.
Eat.
Reduction of linear differential equations to a system of first-order equations.
Graphical and numerical methods for solving first-order differential equations.
Further numerical methods for solving first-order differential equations.
Numerical methods for solving second-order differential equations via systems.
Laplace transform.
Inverse laplace transforms.
Convolutions and the unit step function.
Solutions of linear differential equations with constant coefficients by laplace transforms.
Solutions of linear systems by laplace transforms.
Solutions of linear differential equations with constant coefficients by matrix methods.
Power series solutions of linear differential equations with variable coefficients.
Series solutions near a regular singular point.
Some classical differential equations.
Gamma and bessel functions.
Introduction to partial differential equations.
Second-order boundary-value problems.
Eigenfunction expansions.
Introduction to difference equations.
Laplace transforms.
Some comments about technology.
Answers.