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Use Laplace transform to solve the partial differential equation: 8² y dy dx² at +xt where y(x,0) = 0, y(0,1)=0 and y(x,t) is bounded for 1>0, x>0.

Use Laplace transform to solve the partial differential equation: 8² y dy dx² at +xt where y(x,0) = 0, y(0,1)=0 and y(x,t) is bounded for 1>0, x>0.

Advanced Engineering Mathematics
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
Use Laplace transform to solve the partial differential equation: o'y dy = ox² ôt +xt where y(x,0) = 0, y(0,1)=0 and y(x,t) is bounded for 1>0, x>0.
Transcribed Image Text:Use Laplace transform to solve the partial differential equation: o'y dy = ox² ôt +xt where y(x,0) = 0, y(0,1)=0 and y(x,t) is bounded for 1>0, x>0.
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