10- Solve the problem: Utt-4uxx = xt, 00 u(x,0) = x, 4(x,0) = 0, u(0, t) = 0, Ux(1,t) = 1+t, t20 %3D
10- Solve the problem: Utt-4uxx = xt, 00 u(x,0) = x, 4(x,0) = 0, u(0, t) = 0, Ux(1,t) = 1+t, t20 %3D
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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Transcribed Image Text:please help me in partial differential equation
by separation of variables
10- Solve the problem:
Utt-4uxr = xt,
0<x<1,
t>0
1
u(x,0) = x,
Uf(x, 0) = 0, 05XS1,
u(0, t) = 0,
Uz(1,t) = 1+t, t20
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