(b). Solve the following partial differential equation by using Laplace transforms du du +=x, x>0, t>0, dx at with initial and boundary conditions u(0,1)= 0 and u(x,0) = 0.
(b). Solve the following partial differential equation by using Laplace transforms du du +=x, x>0, t>0, dx at with initial and boundary conditions u(0,1)= 0 and u(x,0) = 0.
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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Question
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Do 3(b) part only
Transcribed Image Text:3.
(a). Solve the initial value problem:
du
du
X +(t+1)=u, t>0
dt
əx
u(x,0) = f(x)
(b). Solve the following partial differential equation by using Laplace
transforms
du du
·+·
-=x, x>0, t>0,
dx Ət
with initial and boundary conditions
u(0,t) = 0 and u(x,0) = 0.
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