By defining and constructing a suitable Greens function (or modified Greens function), find an integral representation for
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By defining and constructing a suitable Green’s function (or modified Green’s function), find an integral representation for the solution of the following problems. Indicate consistency condition required for solvability, if any.
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J u" (2) + u(х) 3D f(»), 0 <2 <т f (x), 0 <х <т u(0) = 1, и(т) %3D и'(т) u' (T J u" (2) + u(х) 3D f(»), 0 <2 <т f (x), 0 <х <т u(0) = 1, и(т) %3D и'(т) u' (T
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