Answered: 4uxx 0 0 u(0, t) = u(5, t) = 0; t> 0…

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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

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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Follow-up Question

Can you do this part step by step so I can know how I got to the answer?

थे
By=
11
2
5
= ²/² √ (5-2) sinnita da
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5
2 =
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(S-X) Cos HITX
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(A)
0 - 0+ COS40T
-
sin nita
(a) 24
अमपमुज
पै
(MF)(M7 ) 2
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Hence,
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(म)2
(SHMT x4nn 2017 +)
5

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