Consider a 60 cm rod which has both ends held at 0 degrees. Suppose that the initial temperature in the rod is given by f(x) = 30, where x is the distance in centimeters from end A. Suppose the heat equation coefficient is a=6 and there is no external heat source. Find the formal series solution for the temperature at position x and time t.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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Consider a 60 cm rod which has both ends held at 0
degrees. Suppose that the initial temperature in the
rod is given by f(x) = 30, where x is the distance in
centimeters from end A. Suppose the heat equation
coefficient is a=6 and there is no external heat
source. Find the formal series solution for the
temperature at position x and time t.
Transcribed Image Text:Consider a 60 cm rod which has both ends held at 0 degrees. Suppose that the initial temperature in the rod is given by f(x) = 30, where x is the distance in centimeters from end A. Suppose the heat equation coefficient is a=6 and there is no external heat source. Find the formal series solution for the temperature at position x and time t.
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