2. Write C programs for the following: 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 T x t 2 exp( /(4 )) ( , ) 2 Using GnuPlot, 1. Plot the temperature profile at t=0.1, 0.5, 1.0, 10.0 in one graph. 2. Make a GIF animation file from the above result. You can use either mergegif.exe or the built-in gif animation creator in Gnuplot.