Solved: In 9 and 10 the eigenvalues and eigenfunctions of

Chapter , Problem 10E

(choose chapter or problem)

In Problems 9 and 10 the eigenvalues and eigenfunctions of the boundary-value problem \(y^{\prime \prime}+\lambda y=0, y^{\prime}(0)=0\), \(y^{\prime}(\pi)=0\) are \(\lambda_{n}=n^{2}, n=0,1,2, \ldots\) and \(y=\cos n x\) respectively. Fill in the blanks.

A solution of the BVP when \(\lambda=36\) is y = _________ because _________

Text Transcription:

y^prime\prime+lambday=0,y^prime(0)=0

y^prime(pi)=0

lambda_n=n^2,n=0,1,2,ldots

y=cosnx

lambda=36

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