a) Let T(x), n = 1,2,3, ... are the eigenfunctions of the Sturm-Liouville problem; x³y" + 2x²y' + λy = 0, y(1) = 5, y'(3) = 6. Set up the orthogonality condition. b) Write the Fourier-Legendre expansion of the function f(x) = 2x3 - 1.
a) Let T(x), n = 1,2,3, ... are the eigenfunctions of the Sturm-Liouville problem; x³y" + 2x²y' + λy = 0, y(1) = 5, y'(3) = 6. Set up the orthogonality condition. b) Write the Fourier-Legendre expansion of the function f(x) = 2x3 - 1.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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