Question: Consider the following second order differential equation: y + 3y + 2y = f(x), 0 < x < 1 y(0) = g(x), y(1) =

Consider the following second order differential equation: y" + 3y + 2y

Consider the following second order differential equation: y" + 3y + 2y = f(x), 0 < x < 1 y(0) = g(x), y(1) = 0 (a) Is the operator L self-adjoint? (show your work) (b) Find yH. (c) Does this BVP problem has a unique solution? Do you need to use modified Green's function to solve this problem? (d) Use the Green's function or the modified Green's function to solve this problem.

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