Question: Do the functions ex/2, e-x/2 form an orthogonal basis for the space of solutions to the differential equation 4y - y = 0 under the

Do the functions ex/2, e-x/2 form an orthogonal basis for the space of solutions to the differential equation 4y" - y = 0 under the L2 inner product on [0, 1]? If not, can you find an orthogonal basis of the solution space?

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