4. Solve the IVP, IC U₁ - Uxx = sin(3x)-7 sin(4x), 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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homework practice, this class is about Fourier series; generalized functions; and numerical methods.

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4. Solve the IVP,
IC
U₁ - Uxx = sin(3x)-7 sin(4x), 0<x<1t€ R¹,
with the BC
u(x, 0) =
u₁(x, 0)
5
= 0
1
sin(6x)+sin(4x)
u(0,1)=0= u(1,1), t€ R+
Express the solution as a Fourier series.
Transcribed Image Text:4. Solve the IVP, IC U₁ - Uxx = sin(3x)-7 sin(4x), 0<x<1t€ R¹, with the BC u(x, 0) = u₁(x, 0) 5 = 0 1 sin(6x)+sin(4x) u(0,1)=0= u(1,1), t€ R+ Express the solution as a Fourier series.
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