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