5. Consider the differential eigenproblem Cu + Au = 0 for 0 x 1, where Lu...

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5. Consider the differential eigenproblem Cu + Au = 0 for 0 x 1, where Lu = du du 2x- +u, u(0) = 0, u'(1) = 0. dx dx (a) Express this equation in Sturm-Liouville form (b) Obtain the adjoint operator of C, in the case where w(x) = 1. 5. Consider the differential eigenproblem Cu + Au = 0 for 0 x 1, where Lu = du du 2x- +u, u(0) = 0, u'(1) = 0. dx dx (a) Express this equation in Sturm-Liouville form (b) Obtain the adjoint operator of C, in the case where w(x) = 1.