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RYANDTRAVERS
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Homework Statement
Consider a system composed of two species X and Y with fractional populations x and y, respectively, where x+y=1. The two species interact in such a way that the differential equation for x is:
\begin{equation}
\frac{dx}{dt}=xyA_{0}e^{-\alpha t}
\end{equation}
where $A_{0}$ and $\alpha$ are non-negative constants. Solve the equation by separation of variables and hence show that the solution for x(0) = $x_{0}$ is:
Photo attached- too long to write out!
2. The attempt at a solution
Again... attached. The problem that I am having is that I can't make x the subject of the equation because I end up with x/(x-1) on the left hand side.
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