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MATH 251 (129)
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Department
Mathematics
Course
MATH 251
Professor
Unknown
Semester
Spring

Description
A list of Eigenvalues and their corresponding Eigenfunctions of simple homogeneous boundary value problems For equation of the form X ″ + λX = 0, with 2-point homogeneous boundary conditions (L > 0): 1. X(0) = 0 and X(L) = 0, 2 2 n π Eigenvalues: λ = 2 , n = 1, 2, 3, … L nπ x Eigenfunctions : X nsin , n = 1, 2, 3, … L 2. X′(0) = 0 and X′(L) = 0, n π 2 Eigenvalues: λ = 0, and λ = 2 , n = 1, 2, 3, … L Eigenfunctions: X = 1
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