Determine whether it is possible to find values y 0 and y 1 (Problem 31) and values

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Determine whether it is possible to find values y0 and y1 (Problem 31) and values of L > 0 (Problem 32) so that the given boundary-value problem has 

(a) Precisely one nontrivial solution,

(b) More than one solution,

(c) No solution,

(d) The trivial solution.

y'' + 16y = 0, y(0) = 1, y(L) = 1

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