B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat equation boundary value problem. (homogeneous PDĚ, mixed, X = [0,L] L= 2, k= 4 +₁ zon R 2²u 2u 24, u(o₁t) = 0 u(L₁Z) = 0 u(x, 0) = 1 A homogeneous BC.) - = 0 2x² nut Lond op So not sand of A 10 M dia (start 9-10 N TAS
B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat equation boundary value problem. (homogeneous PDĚ, mixed, X = [0,L] L= 2, k= 4 +₁ zon R 2²u 2u 24, u(o₁t) = 0 u(L₁Z) = 0 u(x, 0) = 1 A homogeneous BC.) - = 0 2x² nut Lond op So not sand of A 10 M dia (start 9-10 N TAS
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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Step 1: Description about the Problem
The given problem is to find the final form of Fourier series solution for the given heat equation partial differential equation with given initial conditions and boundary conditions.
Given,
ut-kuxx=0,
u(0,t) = u(L,t) = 0
u(x,0) = 1.
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