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📚 Differential Equations for Engineers
Chapters ▾
0 Introduction1 First order ODEs2 Higher order linear ODEs3 Systems of ODEs4 Fourier series and PDEs5 Eigenvalue problems6 The Laplace Transform7 Power series methods8 Nonlinear SystemsA Linear AlgebraB Table of Laplace Transforms

Chapter 4: Fourier series and PDEs

Before we tackle the Fourier series, we need to study the so-called boundary value problems (or endpoint problems). For example, suppose we have

x ″ + λ x = 0 , x ( a ) = 0 , x ( b ) = 0 ,

Adapted from Differential Equations for Engineers by Jiří Lebl (Oklahoma State University), hosted on LibreTexts (math.libretexts.org) and licensed under CC BY-SA 4.0. Changes were made. License: CC-BY-SA-4.0.