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What is wrong here? (A differential equation)

  1. May 5, 2012 #1
    What is wrong here???? (A differential equation)

    1. The problem statement, all variables and given/known data

    My homework has a Sturm-Louiville eigenvalue problem

    Lu = u'' - u = 0, x ε (0,1)​

    with u(0)=u(∏)=0. The only solution is u(x) = 0, x ε [0,1]. Right? But then other parts of this particular problem become trivial.

    2. Relevant equations

    Nothing really

    3. The attempt at a solution

    Plugged it into Wolfram Alpha to get u(x)=0, solved it using the characteristic equation to get u(x)=0, and also did the eigenfunction expansion to get the same answer.
     
  2. jcsd
  3. May 5, 2012 #2
    Re: What is wrong here???? (A differential equation)

    nevermind! I just saw fredholm's alternative in the lecture notes. I get it now.
     
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