Solved: In 914, find the values of (eigenvalues) for which

Chapter 10, Problem 13E

(choose chapter or problem)

In Problems 9-14, find the values of \(\lambda\) (eigenvalues) for which the given problem has a nontrivial solution. Also determine the corresponding nontrivial solutions (eigenfunctions).

\(y^{\prime \prime}+\lambda y=0 ; \quad 0<x<\pi,\)

\(y(0)-y^{\prime}(0)=0, \quad y(\pi)=0\)

Equation Transcription:

Text Transcription:

\lambda

y''+\lambda y=0;           0<x<pi,

y(0)-y'(0)=0,       y(pi)=0

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