For each of the following boundary conditions find the smallest eigenvalue (the buckling

Chapter 11, Problem 25

(choose chapter or problem)

For each of the following boundary conditions find the smallest eigenvalue (the buckling load) of y(4) + y = 0, and also find the corresponding eigenfunction (the shape of the buckled column). (a) y(0) = y(0) = 0, y(L) = y(L) = 0 (b) y(0) = y(0) = 0, y(L) = y (L) = 0 (c) y(0) = y (0) = 0, y(L) = y (L) = 0

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