Find the solution to the PDE ди", k >0atAns. u = e"(A,ear" cosh ax + B.ehar" sinh ax)k-,-ka’t,u = e"(A,e¯ka" cos ax + B,e¯ha"' sin ax)u = e"(A;x + B;)

Given PDE is k∂2u∂x2-u=∂u∂t, k>0 (1) Let the solution be u=XT, where X and T are the…

Answered: ди Ans, u = e"(A,er" cosh ax + Bjehar"…

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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ди Ans, u = e"(A,er" cosh ax + Bjehar" sinh ax) e ka't cos ax + B,e¯ha" sin ax) -ka’t, u = e"(A;x + B)