Using d'Alembert's solution, we obtain that the solution to the problem utt=9uxx u(x,0)=3x²,  ut(x,0)=x is a) 3x-2t b) x²+3t² c) 4x-t d) 3x + t e) t²+3xt

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Using d'Alembert's solution, we obtain that the solution to the problem

utt=9uxx

u(x,0)=3x²,  ut(x,0)=x

is

a) 3x-2t

b) x²+3t²

c) 4x-t

d) 3x + t

e) t²+3xt

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Follow-up Question

The answer does not match the alternatives. Which would be?

a) 3x-2t

b) x²+3t²

c) 4x-t

d) 3x + t

e) t²+3xt

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