Find the temperature u(x,t) in a laterally insulated copper bar 80 cm long if the initial temperature is 100sin(37x/80) and the ends are kept at 0°C. How long will it take for the maximum temperature of the in the bar to drop to at 50°C. Physical data for copper: density 8.92 g/cm³, specific heat 0.092 cal/(g °C), thermal conductivity 0.95 cal /(cm sec °C). 0°C 0 0°C x=L
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