Plot the solution of the IBVP u(x, t): Such that 8 π 1 (2k-1)³ Σ (₁₂ k=1 e-3(2k-1)t sin((2k-1)x)) x = 0: π k = 1,2,3,...,10 t = 0,1,2,3,4 By using matlab/ code in (x-u) plane with t = 0,1,2,3,4 Use truncated solution k = 1,2,3.....10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3UTT
u(x,0) = x(x − x),
u(0, t) = u(n,t) = 0.
Plot the solution of the IBVP
u(x, t)
Such that
8
T
∞
k=1
1
(2k-1)³
e
-3(2k-1)t sin((2k – 1)x))
x = 0: π
k = 1,2,3,...,10
t = 0,1,2,3,4
By using matlab/ code in (x-u) plane with t = 0,1,2,3,4
Use truncated solution k = 1,2,3,...,10
Transcribed Image Text:3UTT u(x,0) = x(x − x), u(0, t) = u(n,t) = 0. Plot the solution of the IBVP u(x, t) Such that 8 T ∞ k=1 1 (2k-1)³ e -3(2k-1)t sin((2k – 1)x)) x = 0: π k = 1,2,3,...,10 t = 0,1,2,3,4 By using matlab/ code in (x-u) plane with t = 0,1,2,3,4 Use truncated solution k = 1,2,3,...,10
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