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Function u(x,t) at an interval is given by the partial differential equation u = u, – 3u , 00. %3D Boundary conditions are given by u. (0,t) = u, (7,t) =0. Start conditions are given by u(x,0) = cos (x). Use the Laplace transform to find the u (x, t) that satisfies the boundary conditions and the start condition.

Function u(x,t) at an interval is given by the partial differential equation u = u, – 3u , 00. %3D Boundary conditions are given by u. (0,t) = u, (7,t) =0. Start conditions are given by u(x,0) = cos (x). Use the Laplace transform to find the u (x, t) that satisfies the boundary conditions and the start condition.

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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Function u(x,t) at an interval is given by the partial differential equation u = u, – 3u , 0<x<n,t>0. %3D Boundary conditions are given by u. (0,t) = u, (x,t) = 0. Start conditions are given by u(x,0) = cos' (x). Use the Laplace transform to find the u (x, t) that satisfies the boundary conditions and the start condition.
Transcribed Image Text:Function u(x,t) at an interval is given by the partial differential equation u = u, – 3u , 0<x<n,t>0. %3D Boundary conditions are given by u. (0,t) = u, (x,t) = 0. Start conditions are given by u(x,0) = cos' (x). Use the Laplace transform to find the u (x, t) that satisfies the boundary conditions and the start condition.
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