HW$4$: Consider two$-$dimensional steady state heat conduction in a region $3$ cm by $3$ cm which is initially at a uniform temperature $T_0=300C$ and for $t>0$ is subjected to the boundary conditions shown in the figure. By using an explicit sheme and mesh size $x=y=1cm,$ develop the finite difference representation of this heat conduction problem.

$($You do not have to solve the equations just develop your equation matrix$)$