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