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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 27E

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13. [0.66/1.33 Points]
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Solve the wave equation a2.
ax²
u(0,t) = 0, u(L, t) = 0,
u(x, 0) = x(L-x),
=
at²
t> 0
ди
at \₂ = 0
u(x,t) = 0
+
Σ
0 < x <L, t>0 (see (1) in Section 12.4) subject to the given conditions.
= 0, 0 < x <L
(nn)
(1-(-1) n) cos(ann ) sin (nXL)
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n = 1

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