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Based on my previous post, I have been stuck on this for a few hours now. I want to solve for $x$ and $y$ from the equation $$\frac{dx}{dt} + \frac{dy}{dt}=a-(b+c+d)y-bx.$$

The original two equations are: $$\frac{dx}{dt}=a-bx-\frac{cxy}{x+y} \\ \frac{dy}{dt}=\frac{cxy}{x+y}-(b+c+d)y $$

$a,b,c,d,x,y$ are all nonnegative.

What is the best strategy?

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IF you have two variables, shouldn't you have 2 equations? –  PA6OTA Jun 15 at 18:30
    
I combined two equations into one by canceling out a nonlinear term. Is two equations mandatory? –  Anonymous Jun 15 at 18:35
    
@Anonymous probably you should show us the problem in its primordial form. –  James S. Cook Jun 15 at 19:24
    
@James S. Cook OK. Anything to get some help! See edit. –  Anonymous Jun 15 at 19:31
    
@Amzoti Hi Amzoti! Simply that they are all nonnegative. –  Anonymous Jun 15 at 20:33

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