How would I separate this equation? I have the solution but I don't know how they arrived there:
$\displaystyle dy/dt = ry(1-(y/K))$
separated form:
$\displaystyle dy/dt = (r/K) * y(K-y)$
Thank you
That's not a "separated form" at all! If you want to "separate" $\displaystyle dy/dt= ry(1- y/K)$ you can do it simply by dividing both sides by y(1- y/K).
But what they have done here is the simple algebra "get common denominators and subtract fractions":
$\displaystyle 1- \frac{y}{K}= \frac{K}{K}- \frac{y}{K}= \frac{K- y}{K}$.