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Deriving Logistic Population Model (ODE question)
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) -...- SirPartypants
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