1. The problem statement, all variables and given/known data I'm given that the motion of an infinite string is described by the wave equation: (let D be partial d) D^2 y /Dx^2 - p/T D^2/Dt^2 = 0 I'm asked for what value of c is Ae^[-(x-ct)^2] a solution (where A is constant) Then im asked to show that the potential and KE of the wave packet are equal.. 2. Relevant equations 3. The attempt at a solution So im guessing the value of c is root(T/p)?since the solution is a function of (x-ct) so this corresponds to D'Alembert..But then PE and KE dont seem equal... KE = integral from -infinity to + infinity of 1/2 p A^2 e^[4c^2(x-ct)] while PE = integral from - inf to + inf of 1/2 p A^2 c^2 e^[-(4x-ct)]..and these dont seem equal.. any help? thanks!