Solve the following PDE using the method of separation of variables and Fourier:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q2 CLO 1
Solve the following PDE using the method of separation of variables and Fourier se
Utt = c?uxx ,
u(0, t) = 0,
u(1,t) = 0,
u(x,0) = 2x(1 – x),
u;(x, 0) = 0.
0 < x< 1,
t > 0
t > 0
t>0
0<x<1
Transcribed Image Text:Q2 CLO 1 Solve the following PDE using the method of separation of variables and Fourier se Utt = c?uxx , u(0, t) = 0, u(1,t) = 0, u(x,0) = 2x(1 – x), u;(x, 0) = 0. 0 < x< 1, t > 0 t > 0 t>0 0<x<1
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