Needed to be solved part I, A and B correctly in 30 minutes and get the thumbs up please show neat and clean work. By hand solution needed Start a new page clearly marked Question 4i) The temperature in a bar of length L is described by the heat equationдиƏt4.Q20²uəx²диəxe) Calculate= aThe ends of the bar are insulated, which are boundary conditions withno heat flux, thusfor 0 0.0 at x = 0 and at x = L for t> 0.a) Using the method of separation of variables, let u(x, t) = = X(x)T(t)and derive the following ODESX" = KX, T' = kQ²T.b)Consider all possibilities of the constant of separation and find allthe non-trivial solutions X that satisfies the boundary conditions (c) Find all possible solutions T, (t) for T(t).d) Hence find the solution u(x, t) if the initial temperature of the bar is1,0

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Answered: i) The temperature in a bar of length L…

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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