Second-order ordinary differential equations Special functions, Sturm-Liouville theory and transforms

This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions (Bessel, etc.), Sturm-Liouville theory (involving the appearance of eigenvalues and eigenfunctions) and the definition, properties and use of various integral transforms (Fourier, Laplace, etc.). You can download the book for free via the link below.