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  3. consider the following linear operator: l u = d^2u

Consider the following linear operator: L u = d^2u/dx^2+ 2 du/dx + u. Consider the eigenvalue problem...

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Advance Math

Consider the following linear operator: L u = d^2u/dx^2+ 2 du/dx+ u.

Consider the eigenvalue problem L u + ?u = 0, x ? (0, ?), u(0) =0, u(?) = 0.

(a) Determine the possible eigenvalues and eigenfunctions.

(b) Use an integrating factor to put the eigenvalue problem inSturm-Liouville form.

(c) What is the appropriate inner product for this system?

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