5. Let t > 0, x E R. (a) Prove that u satisfies the heat equation; i.e.,...

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5. Let t > 0, x E R.

(a) Prove that u satisfies the heat equation; i.e., U xx - Ut = ° for all t > ° and x E R.

(b) If a> 0, prove that u(x, t) -+ 0, as t -+ 0+, uniformly for x E [a, 00).

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 20, 2024 05:02 AM

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5. Let t > 0, x E R. (a) Prove that u satisfies the heat equation; i.e.,...

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An Introduction To Analysis

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