Consider L(u) = f(x) with L = d dx p d dx + q. Assume that the appropriate Greens

Chapter 9, Problem 9.3.14

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Consider L(u) = f(x) with L = d dx p d dx + q. Assume that the appropriate Greens function exists. Determine the representation of u(x) in terms of the Greens function if the boundary conditions are nonhomogeneous: (a) u(0) = and u(L) = (b) du dx(0) = and du dx(L) = (c) u(0) = and du dx(L) = *(d) u(0) = and du dx(L) + hu(L) =

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