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In: Advanced Math

(a) Find all positive values of λ for which the following boundary value problem has a...

(a) Find all positive values of λ for which the following boundary value problem has a nonzero solution. What are the corresponding eigenfunctions? X′′ + 4Xʹ + (λ + 4) X = 0, X′(0) = 0 and X′(1) = 0. Hint: the roots of its auxiliary equation are –2 ± σi, where λ = σ2.

(b) Is λ = 0 an eigenvalue of this boundary value problem? Why or why not?

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Expert Solution

Colby Messinger answered 2 years ago
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