An introduction to differential equations, with difference equations, Fourier series and partial differential equations

Elementary methods: first-order differential equations. Linear differential equations. Linear systems. The Laplace transform. Series solutions of second-order linear equations. Boundary value problems. Numerical solutions of differential equations. Nonlinear differential equations and systems. Difference equations. Fourier series. An introduction to partial differential equations. Appendices. Answers to odd-numbered exercises. Index.