4uxx 0 0 u(0, t) = u(5, t) = 0; t> 0 0≤x≤ 4 0, (x,0) = {5-x, 4 ≤ x ≤ 5 u(x,0) = 0; ди at
4uxx 0 0 u(0, t) = u(5, t) = 0; t> 0 0≤x≤ 4 0, (x,0) = {5-x, 4 ≤ x ≤ 5 u(x,0) = 0; ди at
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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Question
100%
Solve the following equations, in partial derivatives subject to the given conditions, by the method of separation of variables.
-provide an approximate answer of the solution, conveniently assigning the parameter values that best fit the data, justify the choice.
resolve before 10 pm please
Transcribed Image Text:utt = 4uxx
0<x< 5; t > 0
u(0, t) = u(5, t) = 0;
u(x, 0) = 0;
Ju
at
t> 0
0≤x≤4
(x,0)=(5-x, 4≤x≤5
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Transcribed Image Text:थे
By=
11
2
5
= ²/² √ (5-2) sinnita da
ड
श्र
5
2 =
5
fgaus. si'n BIT in dr
ङ
2
(S-X) Cos HITX
ड
(A)
0 - 0+ COS40T
-
sin nita
(a) 24
अमपमुज
पै
(MF)(M7 ) 2
४
Hence,
पत्या) = E 2 ( भोग casnyr +5 अम(4na)
मय
(म)2
(SHMT x4nn 2017 +)
5
Solution
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