The transverse displacement $y(x, t)$ of a wave on a string is given by $y(x, t) = e^{-(ax^2 + bt^2 + 2\sqrt{ab}xt)}$. This represents a

  • A
    wave moving in negative $x$-direction with speed $\sqrt{\frac{b}{a}}$
  • B
    standing wave of frequency $\sqrt{b}$
  • C
    standing wave of frequency $\frac{1}{\sqrt{b}}$
  • D
    wave moving in positive $x$-direction with speed $\sqrt{\frac{b}{a}}$

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