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Math Help - Boundary Value Problem

  1. #1
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    Boundary Value Problem

    Here is the problem:

    y'' + 2y' + lambda*y = 0 y(0) + y'(0) = 0, y(1) = 0

    I am supposed to show that all eigenvalues are real and then find all the eigenvalues and eigenfunctions.

    I have never seen this kind of problem before and my prof did not cover this in lecture material. I know how to find eigenvalues and vectors for a given matrix but I'm not sure where to start for this one.

    Thanks!
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  2. #2
    Super Member Rebesques's Avatar
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    It is an eigenvalue problem in the general Sturm-Liouville setting.
    Solve the characteristic polynomial \omega^2+2\omega+\lambda for the various parameter values and compute the corresponding solutions.
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