[SOLVED] Satisfying wave equation 1. The problem statement, all variables and given/known data Confirm that the following wave satisfies the wave equation and obtain an expression for the velocity of a wave Y=Asin(2x-5t)*e^(-2t) 2. Relevant equations the wave equation is (d^2y/dt^2)=(V^2)*(d^2y/dx^2) 3. The attempt at a solution I assumed that I had to differentiate Y with respect to 't' twice and the differentiate Y with respect to 'x' twice and then substitute these into the equation. This left me with -21Ae^(-2t)sin(2x-t)+20Ae^(-2t)cos(2x-5t)=(V^2)(-4Ae^(-2t)sin(2x-5t)) but this doesnt really prove that the wave satisfies the equation. Does it? I can then rearrange to get V the wave velocity. Am I on the right track?