Question: 6. (10pts) Consider the ODE (more precisely, a boundary value problem (BVP) with one independent variable) u(x) - u = 0. Find all solutions of

6. (10pts) Consider the ODE (more precisely, a boundary value problem (BVP) with one independent variable) u"(x) - u = 0. Find all solutions of this BVP with boundary conditions u(0) = u(1) = 0 and also the solution for the BVP u"(x) + u = 0 with BCs u(0) = u(m) = 0

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