Function u(x,t) at an interval is given by the partialdifferential equationu = u, – 3u , 00.%3DBoundary conditions are given byu. (0,t) = u, (x,t) = 0.Start conditions are given byu(x,0) = cos' (x).Use the Laplace transform to find the u (x, t) thatsatisfies the boundary conditions and the startcondition.

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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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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