Consider, in the interval [0, 2], the eigenvalue problem (2)+46 (2)+96(r) = (r) with boundary conditions...

 

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Consider, in the interval [0, 2], the eigenvalue problem ¢"(2)+46 (2)+96(r) = \(r) with boundary conditions (0) = 0, (2) = 0. a) Show that there are no non-oscillating eigenfunctions (i.e. without sine/cosine). b) Calculate the eigenvalues and eigenfunctions. Consider, in the interval [0, 2], the eigenvalue problem ¢"(2)+46 (2)+96(r) = \(r) with boundary conditions (0) = 0, (2) = 0. a) Show that there are no non-oscillating eigenfunctions (i.e. without sine/cosine). b) Calculate the eigenvalues and eigenfunctions.