Find the temperature distribution u$($x$,$ t$)$ of a bar of copper $($length $10$ cm$,$ crosssectional area $1$ cm$2,$ density $8\mathrm{.}96$ g$/$cm$3,$ thermal conductivity $400$ W$/($m K$),$ specific heat of $0\mathrm{.}385$ J$/($g $$C$))$ that is perfectly insulated laterally, whose ends are kept at $0$C$,$ and whose initial temperature distribution f$($x$)$ in $$C i