Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as well as its ends, with an initial temperature distribution given by: u(x,0) = 60 - 2x The governing equation for the rod simplifies to a²u 1 δι əx² a² St where a = 1. Find a) the transient temperature distribution of the rod =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as
well as its ends, with an initial temperature distribution given by:
u(x, 0) = 60 - 2x
The governing equation for the rod simplifies to
2²u 1 δι
=
əx² a² St
where a = 1. Find a) the transient temperature distribution of the rod
Transcribed Image Text:1. Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as well as its ends, with an initial temperature distribution given by: u(x, 0) = 60 - 2x The governing equation for the rod simplifies to 2²u 1 δι = əx² a² St where a = 1. Find a) the transient temperature distribution of the rod
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