Solve the wave equation a². u(x, 0) = u(0, t) = 0, u(L, t) = 0 10hx L | 10h (1 − ²), 1/2/³ - x ₁ u(x, t) = 0 Need Help? a²u 0х2 "I Read It a²u 0 < x < L, t> 0 (see (1) in Section 12.4) subject to the given conditions. at2' + 0 < x < 00 Σ n = 1 N|F ≤X

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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Solve the wave equation a².
u(x, 0) =
u(0, t) = 0, u(L, t) = 0
10hx
L
| 10h (1 − ²), 1/2/³
- x ₁
u(x, t) = 0
Need Help?
a²u
0х2
"I
Read It
a²u
0 < x < L, t> 0 (see (1) in Section 12.4) subject to the given conditions.
at2'
+
0 < x <
00
Σ
n = 1
N|F
≤X<L
I
au
at
t = 0
= 0
Transcribed Image Text:Solve the wave equation a². u(x, 0) = u(0, t) = 0, u(L, t) = 0 10hx L | 10h (1 − ²), 1/2/³ - x ₁ u(x, t) = 0 Need Help? a²u 0х2 "I Read It a²u 0 < x < L, t> 0 (see (1) in Section 12.4) subject to the given conditions. at2' + 0 < x < 00 Σ n = 1 N|F ≤X<L I au at t = 0 = 0
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