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a)Find the eigenvalues and eigenfunctions of the Sturm-Liouville system y"+ lamda y = 0 y(0) =...

a)Find the eigenvalues and eigenfunctions of the Sturm-Liouville system
y"+ lamda y = 0
y(0) = 0
y'(1) = 1

I got y=x and y=sin((sqrt k)x)/((sqrt k) cos(sqrt k))

Please do b
(b) Show that the eigenfunctions Yn and Ym you obtained from the above
are orthogonal if n not= m.

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