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.