4. Solve the IVP, IC U₁Uxx = sin(3лx)-7 sin(4x), 0≤x≤11€R+, with the BC u(x,0) u₁(x,0) = = 5 4 0 1 sin(6x)+sin(4x) u(0,1)=0= u(1,1), t€ IR+ Express the solution as a Fourier series.
4. Solve the IVP, IC U₁Uxx = sin(3лx)-7 sin(4x), 0≤x≤11€R+, with the BC u(x,0) u₁(x,0) = = 5 4 0 1 sin(6x)+sin(4x) u(0,1)=0= u(1,1), t€ IR+ Express the solution as a Fourier series.
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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B1.
Advance maths
Transcribed Image Text:4. Solve the IVP,
IC
U₁Uxx = sin(3x)-7 sin(4x), 0≤x≤11€ IR+,
-
with the BC
u(x,0)
u₁(x, 0)
=
5
= 0
1
sin(6x)+sin(4x)
u(0,t) 0 = u(1,t), t€ IR+
Express the solution as a Fourier series.
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