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The temperature distribution of a homogeneous thin rod, whose surface is insulated, is described by the following IBVP: PDE: V, – Vex = 0, 0 0, BCS: V(0, t) = 0, V(1, t) = sin t, t > 0, IC: V(x,0) = x(1 – x), 0 < x < 1.

The temperature distribution of a homogeneous thin rod, whose surface is insulated, is described by the following IBVP: PDE: V, – Vex = 0, 0 0, BCS: V(0, t) = 0, V(1, t) = sin t, t > 0, IC: V(x,0) = x(1 – x), 0 < x < 1.

Advanced Engineering Mathematics
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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The temperature distribution of a homogeneous thin rod, whose surface is insulated, is described by the following IBVP: PDE: V – Vx = 0, 0<x< 1,t > 0, %3D BCS: V(0, t) = 0, V(1, t) = sin t, t > 0, IC: V(x,0) = x(1 – x), 0 < x < 1.
Transcribed Image Text:The temperature distribution of a homogeneous thin rod, whose surface is insulated, is described by the following IBVP: PDE: V – Vx = 0, 0<x< 1,t > 0, %3D BCS: V(0, t) = 0, V(1, t) = sin t, t > 0, IC: V(x,0) = x(1 – x), 0 < x < 1.
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