- #1
Illusionist
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Homework Statement
Hi, I've been trying to solve the differential equation 1000(dp/dt) = p(100-p), but have had no luck so far.
Homework Equations
I think this requires using the change of variables formula.
The Attempt at a Solution
Basically I've tried putting everything involving the dependent variable p, which lead me to [1000/(100p-p^2)]*(dp/dt)=1. I then tried to differentiate both sides but this is where I seem to become stuck. I know the answer is p= 200/(2-e^-0.1t) but can't get to it because of the integration.
I'm also having similar problems with the question dP/dt=P(1-0.01P)-h. Thanks in advance or any help or tips.