Homework Statement
Solve the logistic population model:
dP/dt=rP(1-P/C); P(0)=P_{0}
2. The attempt at a solution
First, I separated variables to get:
\int \! \frac{1}{P(1-P/C)} \, \mathrm{d}P = \int \! r \, \mathrm{d}t
Then, I took the left hand side and split into partial fractions:
(1) -...