What is the procedure or what are the steps to be carried out here:

$\displaystyle \frac{X\prime}{X}=\frac{1}{4}(\frac{Y}{Y\prime})=\ lambda$

The answer is given as $\displaystyle X=e^{\lambda\alpha}$ and $\displaystyle Y=e^{\frac{\beta}{4\lambda}}$

I don't know how to get to the answer, i have done seperation of variables, but not when i have a derivative as a denominator!