Q$2.$ The cooling temperature of a rectangular metal sheets of sides $x$ and $y$ to achieve the desired hardness in each sheet is given by equation $1.$ The fixed temperature at the edges are $11$ and $12,$ where n is a discrete time index. Given that $Tl=50,T2=150,L=3m,W=2\mathrm{.}5m,$ n ranging from $1$ to $7$ in step of $2$ for each x and y $.$ Write a program to plot the following graphs for both x and y ranging from $0\mathrm{.}1$ to $5$ in steps of $0\mathrm{.}1.$ The title of the graphs should be the aume of each plot. The gruphe sheuld be in one figure arrange as $22$ matrix. $(28$ mk $)$

$T=(T_2-T_1)[\frac{2}{}{\displaystyle \underset{n=1}{\overset{}{}}}\frac{2}{n}sin(\frac{ntx}{L})\frac{sinh(\frac{ny}{L})}{sinh(\frac{nW}{L})}]+T_1,$dots$1$

i$.$ Plot $3$D graphs of T$,x$ and $y,$

ii$.$ Mesh graphs of T$,x$ and $y$

iii. Surface graphs of T$,x$ and $y,$

iv$.$ Contour graphs of T$,x$ and $y$

using matlab