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Find Eigenvalues in differential equation?

Posted 3 years ago

Hi everyone! I'm trying to find the eigenvalues for a particular equation. I already have the answer, but I want to find it through Mathematica. enter image description here I tried with the following code:

eqy = Y''[y] + \[Beta]^2*Y[y] == 0;
sol = DSolve[{eqy}, Y[y], {y, 0, W}]

and I get the proper result, but I don't know how to find the eigenvalues. I tried with NDEigenvalues but it doesn't work properly:

NDEigenvalues[eqy, Y[y], {y, 0, W}, 1]

Can you perhaps give me some suggestions? Thank you in advance!

POSTED BY: Roberta Mongillo
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