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Use Fourier transform to solve the partial differential equation: d²u dx² -10u = du dt " x>0,t> 0 where u(x,0) = 0 du(0,1) e¹ and limu(x,t) = 0. dx

Use Fourier transform to solve the partial differential equation: d²u dx² -10u = du dt " x>0,t> 0 where u(x,0) = 0 du(0,1) e¹ and limu(x,t) = 0. dx

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 Fourier transform to solve the partial differential equation: d²u du du(0,1) - 10u = x>0,t> 0 where u(x,0) = 0 " əx² ôt dx =e" and limu(x, t) = 0.
Transcribed Image Text:Use Fourier transform to solve the partial differential equation: d²u du du(0,1) - 10u = x>0,t> 0 where u(x,0) = 0 " əx² ôt dx =e" and limu(x, t) = 0.
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