I need to compute (numerically) the eigenvalues (L) of this singular ODE,
y´´ + 1/x * y´ + L * (1 - x2) y = 0 , subject to
y(1) = 0 , y'(0) = 0
Is it possible to use the Matlab function bvp4c?
Or another?
Richard Epenoy
Hi, bvp4c can be used as it solves two-point boundary value problems. You just need to rewrite your equation as a system of two first-order ODEs:
y1' = y2
y2' = -1/x*y2 -L*(1-x^2)*y1
y2(0)=0 y1(1)=0
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Lemuel Carlos Ramos Arzola
Thanks for your answer Sr. Epenoy, but, How can I know the numerical values of "L" (the eigenvalues)?
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Richard Epenoy
Hi, in fact for solving your ODE system numerically you need to set the value of L
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