The transverse displacement y(x, t) of a wave on a string is given by y(x, t)=e^ - (a x^2+b t^2+2 a b x t ) . This represents a

Step-by-step solution

Phase of given wave is =a x^2+b t^2+2 a b x t Differentiating with respect to time, d d t =0=2 a x d x d t +2 b t+2 a b (t d x d t +x ) (2 a x+2 a b t) d x d t =-(2 a b x+2 b t) So, wave velocity is v= d x d t = -(2 a b x+2 b t) (2 a x+2 a b t) =- b a ~ms ⁻¹