Find all solutions of the one-dimensional heat equation that have the form w = e rt sin

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Find all solutions of the one-dimensional heat equation that have the form w = ert sin kx and satisfy the conditions that w(0, t) = 0 and w(L, t) = 0. What happens to these solutions as t → ∞?

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Related Book For  answer-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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