Prove that (5.6.10) is valid in the following way. Assume L(u)/ is piecewise smooth so
Chapter 5, Problem 5.6.3(choose chapter or problem)
Prove that (5.6.10) is valid in the following way. Assume L(u)/ is piecewise smooth so that L(u) = n=1 bnn(x). Determine bn. [Hint: Using Greens formula (5.5.5), show that bn = ann if u and du/dx are continuous and if u satisfies the same homogeneous boundary conditions as the eigenfunctions n(x).]
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