Show that u(x, t) = sin(nx) e n2t satisfies the heat equation for any constant n: t

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Show that u(x, t) = sin(nx) e^−n2tsatisfies the heat equation for any constant n:

t || Ju -2

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 17, 2024 03:00 AM

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Show that u(x, t) = sin(nx) e n2t satisfies the heat equation for any constant n: t

Question:

t || Ju -2

Step by Step Answer:

We computed using the Chain Rule nt dt We now find ux t en ...View the full answer

Calculus

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