Using Matlab and the following equation do the following:

a)Plot ?(x, t) as a function of x (for 5 cm) at three different times (t ? [0.01, 0.1, 1] s) for both copper and iron1 . Let A = 1.0 10?4 m2 and H = 1.0 103 J. Also assume ?o = 300 K. Your answer should include all six plots (created together in one figure; copper in a left column and iron in the right, each row being a different time) and your code to generate such

b)Similar to the last problem, plot ?(x, t) as a function of t (for t ? [0 10 s) at three different positions (x ? [0.005, 0.01, 0.05] m) for both copper and iron.

c)Lastly, make a 3-D plot that shows ?(x, t) as a function of both x and t such that is appears as a heat map2

D). Which of the two metals is a better conductor? Explain within the context of your figure generated in the last plot.

cp=is 3.45e7 J m?3 K ?1 for Cu and 3.50e7 for Fe.

D=0.386 S (J/g 0C) for copper and 0.450 S (J/g 0C)

0(x, t) where cp and D are the metal's specific heat capacity per unit volume and thermal diffusivity, both assumed to be constant with respect to temperature. Show that this equation satisfies the diffusion equation. 0(x, t) where cp and D are the metal's specific heat capacity per unit volume and thermal diffusivity, both assumed to be constant with respect to temperature. Show that this equation satisfies the diffusion equation