$4\mathrm{.}2$ A two $-$ dimensional rectangular plate issubjected to prescribed boundaryconditions. Using the results of the exactsolution for the heat equation presented inSection $4\mathrm{.}2,$ calculate the temperaturesalong the mid $-$ plane of the plate$($x$)=(1$m$)$ at y $=0\mathrm{.}25,0\mathrm{.}5,$ and $0\mathrm{.}75$ m byconsidering the first five nonzero terms ofthe infinite series. Assess the errorresulting from using only the first threeterms of the infinite series.