When a heat source is placed at $x=0$ at $t=0$ in an infinitely extended bar, the temperature distribution at $(x,t)$ is expressed as

$T(x,t)=\frac{\text{e}\text{x}\text{p}(-\frac{x^2}{4t})}{2\sqrt[\phantom{2}]{t}}$

Using GnuPlot,

plot the temperature profile at $t=0\mathrm{.}1,0\mathrm{.}5,1\mathrm{.}0,10\mathrm{.}0$ in one graph.

make a GIF animation file from the above result.

Use either mergegif$64.$ exe or the built$-$in gif animation creator in Gnuplot.

For this problem, just submit two GIF files as attachments.

The result should look like:

Please Provide all the Code, Thank You!