$\displaystyle dx/dt = x - 0.001xy$
$\displaystyle dy/dt = -y - 0.001xy$
$\displaystyle x(0) = 2000 , y(0) = 1000$
I have no idea how to solve, any tips appreciated!
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No I didn't but would I then separate variables and then integrate to get $\displaystyle -ln(y) + 0.001y + C = ln(x) - 0.001x $ ? Is this what I should be doing? Not sure how to apply boundary conditions, shoud c = $\displaystyle ln(2000) + ln(1000) -3 $
My aim is to find exact values for x(10) and y(10)