Given the partial differential equation,For 0 ≤ x ≤n, t≥0 with boundary conditionsAnd the initial condition of,u₁ = utu(x,0) =u(0,1)= u(T) = 0X,XXπt-X,jika 0

Since there are many parts. hence find the solution of the first part.

Answered: Given the partial differential…

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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Given the partial differential equation, For 0 ≤ x ≤n, t≥ 0 with boundary conditions And the initial condition of, = U u(x,0) = XX u(0,1)= u(x) = 0 jika 0 < x π T-X, jika < x < a. Determine the analytical solution of the problem and its graph!