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Consider the function f (same as in the previous problem) defined on the interval [0, 10] as follows, x = [0, 5], 3, x = [5, 10]. Find the coefficients Cn of the eigenfunction expansion of function f, f(x) 3 5 = Cn = X, ∞ f(x) = Σ cn vn(x), n=1 where yn, for n = 1, 2, 3, are the unit eigenfunctions of the Regular Sturm-Liouvi system -y" = λy, y(0) = 0, y' (10) = 0. Note: Label your eigenfunctions so the eigenfunction for the lowest eigenvalue corresponds to n = 1. Therefore, use 2n - 1 instead of 2n + 1.

Consider the function f (same as in the previous problem) defined on the interval [0, 10] as follows, x = [0, 5], 3, x = [5, 10]. Find the coefficients Cn of the eigenfunction expansion of function f, f(x) 3 5 = Cn = X, ∞ f(x) = Σ cn vn(x), n=1 where yn, for n = 1, 2, 3, are the unit eigenfunctions of the Regular Sturm-Liouvi system -y" = λy, y(0) = 0, y' (10) = 0. Note: Label your eigenfunctions so the eigenfunction for the lowest eigenvalue corresponds to n = 1. Therefore, use 2n - 1 instead of 2n + 1.

Linear Algebra: A Modern Introduction
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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H5.

Notice its asking you to use 2n-1 instead of 2n+1!!!

Consider the function f (same as in the previous problem) defined on the interval [0, 10] as follows, rw=f3³² X, x = [0, 5], f(x) 3, x = [5, 10]. Find the coefficients cn of the eigenfunction expansion of function f, ∞ f(x) = Σ cn vn(x), n=1 where yn, for n = 1, 2, 3, are the unit eigenfunctions of the Regular Sturm-Liouville system -y" = λ y, y(0) = 0, y' (10) = 0. Note: Label your eigenfunctions so the eigenfunction for the lowest eigenvalue corresponds to n = 1. Therefore, use 2n 1 instead of 2n + 1. Cn =
Transcribed Image Text:Consider the function f (same as in the previous problem) defined on the interval [0, 10] as follows, rw=f3³² X, x = [0, 5], f(x) 3, x = [5, 10]. Find the coefficients cn of the eigenfunction expansion of function f, ∞ f(x) = Σ cn vn(x), n=1 where yn, for n = 1, 2, 3, are the unit eigenfunctions of the Regular Sturm-Liouville system -y" = λ y, y(0) = 0, y' (10) = 0. Note: Label your eigenfunctions so the eigenfunction for the lowest eigenvalue corresponds to n = 1. Therefore, use 2n 1 instead of 2n + 1. Cn =
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