- #1
Roni1985
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Homework Statement
it's already separable, so it's an ODE function.
X''+[tex]\lambda[/tex]*X=0 0<x<1
X(0)=-2X(1)+X'(1)=0
Homework Equations
The Attempt at a Solution
this is a Sturm-Liouville eigenvalue problem.
Now, I know how to solve it and everything, but I'm not sure with one thing.
when I check the case where [tex]\lambda[/tex]=0,
I get C2(-2x+1)=0
so C2 can be anything, correct ?
now what's my eigenfunction ?
X(x)=x is the eigenfunction ?
do I use the x=1/2 somewhere ?
Thanks.