Show that the eigenvalues and eigenfunctions of the boundary-value problem y'' + y = 0, y(0) =
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Show that the eigenvalues and eigenfunctions of the boundary-value problem
y'' + y = 0, y(0) = 0, y(1) + y'(1) = 0
are n = α2n yn = sin αn x, respectively, where an, n = 1, 2, 3, . . . are the consecutive positive roots of the equation tan α = -α.
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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