Figure $13\mathrm{.}5-2.$ Steady$-$state heat conduction in two directions in a semi$-$infinite plate$\mathrm{.}13\mathrm{.}5-1.$ Temperatures in a Semi$-$Infinite Plate. A semi$-$infinite plate is similar to that in

Fig. $13\mathrm{.}5-2.$ At the surfaces $x=0$ and $x=L,$ the temperature is held constant at $200K.$

At the surface $y=0,$ the temperature is held at $400K.$ If $L=1\mathrm{.}0m,$ calculate the

temperature at the point $y=0\mathrm{.}5m$ and $x=0\mathrm{.}5m$ at steady state.