The eigenvalues in this problem are all nonnegative. First determine whether A = 0 is an eigenvalue; then find the positive eigenvalues and associated eigenfunctions. 37y" + Ay = 0; y(- x) = 0, y(x) = 0 (.... Is A =0 an eigenvalue of this problem? Select the correct answer below and, if necessary, fill in the corresponding answer box to complete your choice. O A. Yes, A = 0 is an eigenvalue with the corresponding eigenfunction yo(x) = O B. No, when A = 0 the only solution to the given equation is the trivial solution. O C. No, when =0 there are an infinite number of nontrivial solutions to the give equation.
The eigenvalues in this problem are all nonnegative. First determine whether A = 0 is an eigenvalue; then find the positive eigenvalues and associated eigenfunctions. 37y" + Ay = 0; y(- x) = 0, y(x) = 0 (.... Is A =0 an eigenvalue of this problem? Select the correct answer below and, if necessary, fill in the corresponding answer box to complete your choice. O A. Yes, A = 0 is an eigenvalue with the corresponding eigenfunction yo(x) = O B. No, when A = 0 the only solution to the given equation is the trivial solution. O C. No, when =0 there are an infinite number of nontrivial solutions to the give equation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The eigenvalues in this problem are all nonnegative. First determine whether A = 0 is an eigenvalue; then find the positive eigenvalues and associated eigenfunctions.
37y" + Ay = 0; y(- x) = 0, y(x) = 0
Is A = 0 an eigenvalue of this problem? Select the correct answer below and, if necessary, fill in the corresponding answer box to complete your choice.
O A. Yes, à = 0 is an eigenvalue with the corresponding eigenfunction yo(x) =
O B. No, when A= 0 the only solution to the given equation is the trivial solution.
O C. No, when 1 =0 there are an infinite number of nontrivial solutions to the give equation.
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