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Find the linear space of eigenfunctions for the problem with periodic boundary conditions u??(x) = ?u(x) u(0) =...

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Advance Math

Find the linear space of eigenfunctions for the problem withperiodic boundary conditions

u??(x) = ?u(x)

u(0) = u(2?)

u?(0) = u?(2?)

for (a) ? = ?1 (b) ? = 0 (c) ? = 1.

Note that you should look for nontrivial eigenfunctions

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