Jjj1) Consider the boundary value problemutt (t, x) = Uxx (t, x), 00,ur(t,0)= 0, uz (t, 1) = 0, t> 0.Use the method of separation of variables to find all the solutions of the form u(t, x) = T(t)X(x).

The given equation is, uttt,x=uxxt,x. Condition is uxt,0=0,uxt,1=0. Definition- The method of…

Answered: Consider the boundary value problem…

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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Consider the boundary value problem Utt(t, x) = Uxx (t, x), 0 0, uz (t,0)=0, uz (t, 1) = 0, t> 0. Use the method of separation of variables to find all the solutions of the form u(t, x) = T(t)X(x).