Find the eigenvalues and eigenfunctions for the following boundary value problem (with A > 0). y" + xy = 0 with y'(0) = 0, y'(3) = 0. Eigenvalues: An = Eigenfunctions: Yn help (formulas) help (formulas) Notation: Your answers should involve n and x. If you don't get this in 2 tries, you can get a hint.
Find the eigenvalues and eigenfunctions for the following boundary value problem (with A > 0). y" + xy = 0 with y'(0) = 0, y'(3) = 0. Eigenvalues: An = Eigenfunctions: Yn help (formulas) help (formulas) Notation: Your answers should involve n and x. If you don't get this in 2 tries, you can get a hint.
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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4.1.4. Ordinary
![**Boundary Value Problem: Eigenvalues and Eigenfunctions**
Find the eigenvalues and eigenfunctions for the following boundary value problem (with \(\lambda > 0\).
\[ y'' + \lambda y = 0 \]
with
\[ y'(0) = 0, \quad y'(3) = 0. \]
**Eigenvalues:**
\[ \lambda_n = \boxed{ \phantom{\text{(input here)}} } \quad \text{help (formulas)} \]
**Eigenfunctions:**
\[ y_n = \boxed{ \phantom{\text{(input here)}} } \quad \text{help (formulas)} \]
**Notation:** Your answers should involve \( n \) and \( x \).
*If you don't get this in 2 tries, you can get a hint.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d6d6ec3-8d2a-4662-b20e-640089acaa34%2F1cbd06db-67e3-481c-9cae-bc742c8bea5f%2F1pc5ee_processed.png&w=3840&q=75)
Transcribed Image Text:**Boundary Value Problem: Eigenvalues and Eigenfunctions**
Find the eigenvalues and eigenfunctions for the following boundary value problem (with \(\lambda > 0\).
\[ y'' + \lambda y = 0 \]
with
\[ y'(0) = 0, \quad y'(3) = 0. \]
**Eigenvalues:**
\[ \lambda_n = \boxed{ \phantom{\text{(input here)}} } \quad \text{help (formulas)} \]
**Eigenfunctions:**
\[ y_n = \boxed{ \phantom{\text{(input here)}} } \quad \text{help (formulas)} \]
**Notation:** Your answers should involve \( n \) and \( x \).
*If you don't get this in 2 tries, you can get a hint.*
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