1-D heat equation-boundary conditions

[dado1307]

Consider an aluminum cylindrical rod 1.0 meter long connecting two heat reservoirs.
Both of the reservoirs are maintained at T=300 K. Initially, the cylinder is at 300 K,
except for the center point of the cylinder which has been rapidly irradiated to a
temperature of 600 K. There is no heat loss from the rod. Consider the system to be one-dimensional.

How do i find the boundary conditions?

[Mapes]

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