The purpose of this assignment is to investigate wave propagation using D'Alembert's solution to the one-dimensional wave equation. His solution to the equation Utt = cuxx subject to the initial condition f(x,0) and initial velocity g(x) is U(8,0) = {(5(x + ct) + f(x ct)) + 2S** g(s) ds Use Matlab or other programming software to demonstrate the propagation of waves using this solution. You can choose an initial wave form for f(x,0) and an initial velocity. Demonstrate your solution for two different choices of initial conditions and velocity. The purpose of this assignment is to investigate wave propagation using D'Alembert's solution to the one-dimensional wave equation. His solution to the equation Utt = cuxx subject to the initial condition f(x,0) and initial velocity g(x) is U(8,0) = {(5(x + ct) + f(x ct)) + 2S** g(s) ds Use Matlab or other programming software to demonstrate the propagation of waves using this solution. You can choose an initial wave form for f(x,0) and an initial velocity. Demonstrate your solution for two different choices of initial conditions and velocity