I'm doing this math project involving the Lotka-Volterra equations. My goal was to be able to graph both $x(t)$ and $y(t)$ on the same axis against time. So far, I was able to find the combined equation of x' and y' using partial differentiation. I called it $E(x,y)$. Substituting my known constants, we have $$E(x,y)=2\ln(y)+4\ln(x)-y-x.$$ However, I have come to a standstill in my progress, as I now cannot separate x and y to find $x(t)$ and $y(t)$, which are defined as $x=x(t)$ and $y=y(t)$. All online sources I have consulted do not explain how they get the graph I'm looking for.
Thank you very much for your help.