Consider the boundary value problem y ' ' y 0, y(0) 0, y( 2) 0 Discuss Is it possible to determine values of so that the problem possesses (a) Trivial solutions (b) Nontrivial solutions ...

Consider the boundary-value problem y'' + y = 0, y(0) = 0, y(/2) = 0. Discuss: Is

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Consider the boundary-value problem y'' + λy = 0, y(0) = 0, y(π/2) = 0. Discuss: Is it possible to determine values of λ so that the problem possesses

(a) Trivial solutions?

(b) Nontrivial solutions?

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