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491748
2012 Apr 27
0
How to find eigenfunctions and eigenvalues of a fourth order ODE
Dear all,
I am having trouble with the following problem. Suppose we have the fourth
order ODE with boundary conditions:
http://r.789695.n4.nabble.com/file/n4591748/problem.jpg problem.jpg
where q(t) is a known function.
Note here the lambda parameter is changing, so essentially we have a series
of ODEs. lambda is called an eigenvalue, the solution y is called an
eigenfunction associated with lambda. The question is to find the
eigenvalues lambda and eigenf...