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Find the eigenvalues and the eigenfunctions for the equation y'' + (lambda)y = 0 where y(a) = 0, ...

find the eigenvalues and the eigenfunctions for the equation y'' + (lambda)y = 0 where y(a) = 0, y(b) = 0 for a<b.

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Consider the diffeieHial equatin is a <5 Charactevstic equatiom is Je Consider the hree cases Snce a<b C Shuscased the trin hulee and are posifve Aa db multiplying e Fob db ds. CS Scanned Henie, Ayum ueal oun. CamScannerou ndar Scanned with CamScanneret Scannedrwithλά CS Scanned with CamScannera-b a-b Scannedwith CamScannerwe Canclude rie eigenvalues Orc dn - a-b and Criespund eigewecta are a-b a-b Cs Scanned with CamScanner 0-b

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