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Use Laplace transform to solve the partial differential equation: d²u d²u du(x,0) = t> 0, 0

Use Laplace transform to solve the partial differential equation: d²u d²u du(x,0) = t> 0, 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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Use Laplace transform to solve the partial differential equation: du(x,0) d²u du at² ax² t> 0, 0<x<1, u(x,0) = sin , at u(0,t) = 0 and u(1,t) = 0. -sin TX,
Transcribed Image Text:Use Laplace transform to solve the partial differential equation: du(x,0) d²u du at² ax² t> 0, 0<x<1, u(x,0) = sin , at u(0,t) = 0 and u(1,t) = 0. -sin TX,
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