IVP with u = 0 initially Consider the following initial value problem (IVP) for the wave equation: Utt- cUzz = 0, u(x, 0) = 0, u(x,0)=h(x) = e-2. (1) (2) (3) (a) Find the solution u(x, t). (b) Create both a waterfall plot and contour plot of u(x, t) to visualize your solution. Use a value of c = 1, and plot your solution on the intervals -10 x 10 and 0 t 4 with a time interval of 0.1 time units. Use Matlab or a similar computing language to generate the plot. Include two files in your work: (i) graphics files of your plots, and (ii) code you used to generate the plots. You only need to copy and paste the codes. There is no need to upload a seprate file.