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

Question:

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 → ∞?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

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

Question Posted: