Consider the boundary-value problem Show that except for
Chapter , Problem 23E(choose chapter or problem)
Consider the boundary-value problem
\(y^{\prime \prime}+y=0, \quad y(0)=y(2 \pi), \quad y^{\prime}(0)=y^{\prime}(2 \pi)\).
Show that except for the case \(\lambda=0\), there are two independent eigenfunctions corresponding to each eigenvalue.
Text Transcription:
y^prime\prime+y=0,y(0)=y(2pi),y^prime(0)=y^prime(2pi)
lambda=0
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