Using Matlab and the Guitar String script codes that I have supplied in eLearning. Modify the script to show the mode oscillations for the guitar string presented in the lecture on Monday. You should modify the program, publish the output and combine the pdf files generated into a single pdf file and submit that to eLearning for the following cases: Case 1: Oscillations for the first vibration mode. Case 2: Oscillations for the second vibration mode. Case 3: Oscillations for the third vibration mode. Case 4: Oscillations for the fifth vibration mode - all oscillations for the fourth mode are zero. Case 5: Oscillations for the combinations of modes 1 through 5. clear all clc syms x t m yc Cn Dn lambda n Physical properties of the string L = 1; c = 660; alpha = 20; beta = 2*alpha/ (c^2); lambda (n) (c*n*pi/L) *sqrt (1 N=50; Number of Fourier series terms (vibration modes) *Define the initial offset and the initial velocity fs (x) =piecewise (0