Let L be a second order linear differential operator. Show
Chapter 11, Problem 15(choose chapter or problem)
Let L be a second order linear differential operator. Show that the solution y = (x) ofthe problemL[y] = f(x),1y(0) + 2y(0) = a, 1y(1) + 2y(1) = bcan be written as y = u + v, where u = 1(x) and v = 2(x) are solutions of the problemsL[u] = 0,1u(0) + 2u(0) = a, 1u(1) + 2u(1) = bandL[v] = f(x),1v(0) + 2v(0) = 0, 1v(1) + 2v(1) = 0,respectively.
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