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For y" + Ay = 0; y'(-n) = 0, y'(r) = 0, answer the following questions. (a) Find the eignfunction yo for A = 0. Yo = 1 (b) Find the positive eigenvalues and associated eigenfunctions. { sin (nx n is odd if if An = , Yn = n2 4 nx COS 2 n is even

For y" + Ay = 0; y'(-n) = 0, y'(r) = 0, answer the following questions. (a) Find the eignfunction yo for A = 0. Yo = 1 (b) Find the positive eigenvalues and associated eigenfunctions. { sin (nx n is odd if if An = , Yn = n2 4 nx COS 2 n is even

Advanced Engineering Mathematics
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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For y" + Ay = 0; y'(-1) = 0, y'(7) = 0, answer the following questions. (a) Find the eignfunction yo for d= 0. Yo = 1 (b) Find the positive eigenvalues and associated eigenfunctions. { sin () cos (5) n is odd if if n2 dn = ", Yn = 4 » n is even
Transcribed Image Text:For y" + Ay = 0; y'(-1) = 0, y'(7) = 0, answer the following questions. (a) Find the eignfunction yo for d= 0. Yo = 1 (b) Find the positive eigenvalues and associated eigenfunctions. { sin () cos (5) n is odd if if n2 dn = ", Yn = 4 » n is even
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