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デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT A sheet of uniform material, with thermal diffusivity k, occupies a region in space with a uniform initial temperature Uo 0x From time t = 0 the face x = 0 remains at zero temperature, while the heat exchange carried out with the environment on the face x = L, at a zero temperature, causes hu + x = 0) on that face. Find the temperature u(x,t) of the sheet at position r at time t; u(x, t) satisfies the boundary value problem: ut = kuxx, u(0,t) = 0, hu(L, t)ux(L,t) = 0, u(x, 0) = Uo, (0 < x 0)

デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT A sheet of uniform material, with thermal diffusivity k, occupies a region in space with a uniform initial temperature Uo 0x From time t = 0 the face x = 0 remains at zero temperature, while the heat exchange carried out with the environment on the face x = L, at a zero temperature, causes hu + x = 0) on that face. Find the temperature u(x,t) of the sheet at position r at time t; u(x, t) satisfies the boundary value problem: ut = kuxx, u(0,t) = 0, hu(L, t)ux(L,t) = 0, u(x, 0) = Uo, (0 < x 0)

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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デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT A sheet of uniform material, with thermal diffusivity k, occupies a region in space with a uniform initial temperature Uo 0x From time t = 0 the face x = 0 remains at zero temperature, while the heat exchange carried out with the environment on the face x = L, at a zero temperature, causes hu + x = 0) on that face. Find the temperature u(x,t) of the sheet at position r at time t; u(x, t) satisfies the boundary value problem: ut = kuxx, u(0,t) = 0, hu(L, t)ux(L,t) = 0, u(x, 0) = Uo, (0 < x <L, t> 0)
Transcribed Image Text:デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT A sheet of uniform material, with thermal diffusivity k, occupies a region in space with a uniform initial temperature Uo 0x From time t = 0 the face x = 0 remains at zero temperature, while the heat exchange carried out with the environment on the face x = L, at a zero temperature, causes hu + x = 0) on that face. Find the temperature u(x,t) of the sheet at position r at time t; u(x, t) satisfies the boundary value problem: ut = kuxx, u(0,t) = 0, hu(L, t)ux(L,t) = 0, u(x, 0) = Uo, (0 < x <L, t> 0)
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