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Question No.2 A smooth and uniform rod of length L whose surface is thermally insulated is initially at temperature 0 = 0,. At time t=0, one end is suddenly cooled to 0 =0 and subsequently maintained at this temperature; the other end remains thermally insulated. Find the temperature distribution 0(x,t). By separation of variables method.

Question No.2 A smooth and uniform rod of length L whose surface is thermally insulated is initially at temperature 0 = 0,. At time t=0, one end is suddenly cooled to 0 =0 and subsequently maintained at this temperature; the other end remains thermally insulated. Find the temperature distribution 0(x,t). By separation of variables method.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Question No.2 A smooth and uniform rod of length L whose surface is thermally insulated is initially at temperature 0 = 0,. At time t=0, one end is suddenly cooled to 0 =0 and subsequently maintained at this temperature; the other end remains thermally insulated. Find the temperature distribution 0(x,1). By separation of variables method.
Transcribed Image Text:Question No.2 A smooth and uniform rod of length L whose surface is thermally insulated is initially at temperature 0 = 0,. At time t=0, one end is suddenly cooled to 0 =0 and subsequently maintained at this temperature; the other end remains thermally insulated. Find the temperature distribution 0(x,1). By separation of variables method.
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