# Solving a Logistic model equation with harvesting

I have the following Logistic model equation (left out the values for the constants for simplicity), which I'm unable to solve for $P(t)$.

$\dfrac {dP} {dt} = kP \left (1- \dfrac P {P_\infty} \right)-H$

If the harvesting constant, $H$ was not present, then the ODE could be solved by Bernoulli's equation. The problem is that I am not sure how to start solving this specific type of differential equation.

Can someone point me in the right direction?

The equation is in separated variables: $$\frac{dP}{k\,P \left (1- \dfrac P {P_\infty} \right)-H}=dt.$$