(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the eigenvalues and the eigenfunctions for

x^2y"+2xy'+λy = 0 y(1) = 0, y(e^2) = 0

2. Relevant equations

See problem

3. The attempt at a solution

My book has one paragraph on this that does not help me. I tried using an auxiliary equation and solving for lambda.

I get (m+√λ)^2 a real number with duplicity two. I don't know what to do with this or if this is even the right first step. The SINGLE paragraph on this doesn't explain anything (it's practically a side note)

I would appreciate some guidance. There are two problems like this on the take home quiz and we didn't go over it in class so I am very lost and confused.

Also I've been pounding my head over this with my directionless fury. Help subside my hate!

Thanks for your time everyone!

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# Homework Help: Differential Equations - Eigenvalues and Eigenfunctions

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