# 15332883567771289441048.jpg The transverse displacement of a wave on a string is given by This represents a

?$y(x,t)=e^{-(ax^2+bt^2+2\sqrt{ab})xt}\\y(x,t)=e^{-(\sqrt{ax}+\sqrt{bt})^2}\\ it\ is\ of\ the\ form\\y(t)=f(\omega t+kx)\ or\ f(t+\frac{x}{v})\\v=\frac{w}{k}=\sqrt{\frac{a}{b}} in -x direction$