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The function u(x, t) = exp(-x²) is a solution of the heat equation 4rt au au² 30-3422 at ax² Use linearization to approximate the change in u(x, t) when x changes from x = 1 to x = 1.4 and t changes from t = 1 to t = 1.2. Give your answer to three decimal places.

The function u(x, t) = exp(-x²) is a solution of the heat equation 4rt au au² 30-3422 at ax² Use linearization to approximate the change in u(x, t) when x changes from x = 1 to x = 1.4 and t changes from t = 1 to t = 1.2. Give your answer to three decimal places.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The function u(x, t) = = 1 4rt expl 4t is a solution of the heat equation au au² at ax² Use linearization to approximate the change in u(x, t) when x changes from x = 1 to x = 1.4 and t changes from t = 1 to t = 1.2. Give your answer to three decimal places.
Transcribed Image Text:The function u(x, t) = = 1 4rt expl 4t is a solution of the heat equation au au² at ax² Use linearization to approximate the change in u(x, t) when x changes from x = 1 to x = 1.4 and t changes from t = 1 to t = 1.2. Give your answer to three decimal places.
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