A wave pulse is described by the function y(x,t)=De^-(Bx-Ct)^2, where B, C and D are all positive constants. What is the speed of this wave?
The Attempt at a Solution
y=De^-(Bx-Ct)^2 is of the form y=f(x+vt)
however there is a B in front of x so I factor the B out and get
-(Bx-Ct)^2 = -B^2(x-Ct/B)^2
so the velocity is C/B
Is this the right approach?