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ди ди Exercise 1. (10 points) Consider the heat equation -(x,t) = (x, t), for x E R and > 0. at მx2 Verify if the following functions satisfy the above heat equation: u(x,t) = eax+a²t and u(x,t) = 2x³ + 6xt.

ди ди Exercise 1. (10 points) Consider the heat equation -(x,t) = (x, t), for x E R and > 0. at მx2 Verify if the following functions satisfy the above heat equation: u(x,t) = eax+a²t and u(x,t) = 2x³ + 6xt.

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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ди ди Exercise 1. (10 points) Consider the heat equation -(x,t) = (x, t), for x E R and > 0. at მx2 Verify if the following functions satisfy the above heat equation: u(x,t) = eax+a²t and u(x,t) = 2x³ + 6xt.
Transcribed Image Text:ди ди Exercise 1. (10 points) Consider the heat equation -(x,t) = (x, t), for x E R and > 0. at მx2 Verify if the following functions satisfy the above heat equation: u(x,t) = eax+a²t and u(x,t) = 2x³ + 6xt.
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