1. Solve the initial-boundary value problem du 0 < x < 4, t > 0 3 dx2 u(0, t) = u (4, t) = 0 t 20 37Tx u(x, 0) (受) 15 sin 4 0
1. Solve the initial-boundary value problem du 0 < x < 4, t > 0 3 dx2 u(0, t) = u (4, t) = 0 t 20 37Tx u(x, 0) (受) 15 sin 4 0
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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please send step by step handwritten solution for Q1
Transcribed Image Text:1. Solve the initial-boundary value problem
ди
2 3u
0 <x < 4, t > 0
3 dx2
u(0, t) = u (4, t) = 0
t>0
(7)
3Tx
u(x, 0) = 5 sin
15 sin
4
0 < x < 4
2. Solve the initial-boundary value problem
= 400-
Əx2
0 < x < 67, t > 0
и(0, t) — и (вт, t) — 0
t>0
ди
x, 0) = 600 sin
()
2x
+ 800 sin
3
u(x, 0) = -50 sin(x),
0 < x < 6T
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