Find the temperature u(x, t) in a bar of silver of length 10 cm and constant cross section of area 1 cm 2 (density 10 6 g cm 3 , thermal conductivity 1 04 cal (cm sec C), specific heat 0 056 cal (g C) that is perfectly insulated laterally, with ends kept at temperature 0C and initial temperature f(...

Substituting the initial conditions and applying heat equation gives u x t 4 ...

Find the temperature u(x, t) in a bar of silver of length 10 cm and constant cross

Question:

Find the temperature u(x, t) in a bar of silver of length 10 cm and constant cross section of area 1 cm²(density 10.6 g/cm³, thermal conductivity 1.04 cal/(cm sec ºC), specific heat 0.056 cal/(g ºC) that is perfectly insulated laterally, with ends kept at temperature 0ºC and initial temperature f(x) ºC, where

f (x) = sin 0.1πx

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