Question: Do the conclusions of Exercise 7.1.49(a-b) hold for the space D(2) of second order differential operators L = p(x) D2 + q(x) D + r(x)

Do the conclusions of Exercise 7.1.49(a-b) hold for the space D(2) of second order differential operators L = p(x) D2 + q(x) D + r(x) where p, q, r are polynomials?

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