alu Solve the wave equation a². 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions. at? u(0, t) = 0, u(L, t) = 0 10hx 0 < x < 5 du u(x, 0) = = 0 |10(3 - 4). at < x < L t = 0 u(x, t) = Σ n = 1

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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Solve the wave equation a² 0¯u
əx?
a?u
0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions.
1.
u(0, t) = 0, u(L, t) = 0
10hx
0 <х<
2
ne
at
u(x, 0) :
= 0
100(1-2) 늘 도 x<
10h 1
< x < L
t = 0
Σ
u(x, t) =
+
%D
n = 1
Transcribed Image Text:Solve the wave equation a² 0¯u əx? a?u 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions. 1. u(0, t) = 0, u(L, t) = 0 10hx 0 <х< 2 ne at u(x, 0) : = 0 100(1-2) 늘 도 x< 10h 1 < x < L t = 0 Σ u(x, t) = + %D n = 1
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