Engineering MathSpring 2009Exam 4 OutlineChapter 5. Series Solutions of ODEs. Special FunctionsJ. The Gamma Function (5.5)K. Bessel's Equation and Bessel Functions (5.5, 5.6)1. General Solution of Bessel's Equation of Order for Nonintegral //2. General Solution of Bessel's Equation of Order for Integral 883. Properties of Bessel Functions4. Solving a DE by Transforming it into a Bessel EquationL. Boundary-Value Problems (5.7)M Sturm-Liouville Problems (5.7)N. Eigenvalues and Eigenfunctions (5.7)O. Orthogonal Families of Functions (5.7)P. Norms (5.7)Q. Orthogonal Expansions (5.8)1. Formula for the Coefficients (Theorem *)2. Fourier-Legendre Series3. Fourier-Bessel SeriesChapter 11 Fourier Series, Integrals, and TransformsA. Even and Odd FunctionsB. Fourier Series
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 01/28/2010 for the course ESE 317 taught by Professor Hastings during the Fall '08 term at Washington University in St. Louis.