A slab, xL$,$ is initially at temperature F$($x$).$ For times t$>0,$

internal energy is generated within the solid at a rate of g$($x$,$t$)$

$(($W$)/($m$^(3))),$ the boundary surface at x$=0$ is exposed to a time$-$dependent

heat flux q$^(\text{'}\text{'})($t$),$ and the boundary surface at x$=$L dissipates heat by

convection into a medium at zero temperature. Using the Green's

function approach, obtain an expression for the temperature

distribution T$($x$,$t$)$ in the slab for times t$>0.$