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JordanGo
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Homework Statement
A set of eigenfunctions yn(x) satisfies the following Sturm-Liouville equation:
[itex] \frac{d(f(x)*y'_{m})}{dx}+\lambda*\omega*y_{m}=0[/itex]
with following boundary conditions:
[itex] \alpha_{1}y+\beta_{1}y'=0[/itex]
at x=a
[itex] \alpha_{2}y+\beta_{2}y'=0[/itex]
at x=b
Show that the derivatives un(x)=y'n(x) are orthogonal functions.
Determine the weighting function for these functions.
What boundary conditions are required for orthogonality?
Homework Equations
Orthogonal functions:
[itex]\int(dx*\omega*y_{n}(x)*y_{m}(x)=0[/itex]
Integrate from a to b.
The Attempt at a Solution
I'm not sure how to start this problem, can someone point me in the right direction?