Chapter 1, Problem 325RE

True or False? Justify your answer with a proof or a counter example.

325. Given $x=f\left(t\right)$ and $y=g\left(t\right),$ if $\frac{dx}{dy}=\frac{dy}{dx},$ then $f\left(t\right)=g\left(t\right)+C$ , where $C$ is a constant.