Question: Show that a variable transformation known as the Kirchhoff transformation, [F(T)=int_{0}^{T} k(s) d s] where (s) is a dummy variable, reduces the heat equation to

Show that a variable transformation known as the Kirchhoff transformation,

\[F(T)=\int_{0}^{T} k(s) d s\]

where \(s\) is a dummy variable, reduces the heat equation to \(abla^{2} F=0\) for the variable conductivity case.

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