PROBLEM $10\mathrm{.}5\mathrm{.}7$ only!!!

Problem $10\mathrm{.}5\mathrm{.}7.$ Consider once again the initial temperature given in problem $(10\mathrm{.}5\mathrm{.}6.)($isosceles triangle of height $\backslash ($ U $\backslash ))$ but assume that at $\backslash ($ t$=0\backslash )$ the reservoirs connected at the left and right ends are at $\backslash ($ u$=0\backslash )$ and $\backslash ($ u$=2$ U $\backslash )$ respectively. Find the temperature for all future times. Remember that the sines are not normalized to unity in Eqn. $(10\mathrm{.}5\mathrm{.}66).$